What is the solution to this equation? log6(x) + log6(3) = log6( x+1)

What Is The Solution To This Equation? Log6(x) + Log6(3) = Log6( X+1)

Answers

Answer 1

Answer:

A

Step-by-step explanation:

got it right

Answer 2

The solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2.

What is a logarithm?

A logarithm is an exponent or power to which a base must be raised in order to produce a given number. If aˣ = n, then x is the logarithm of n to the base a, which is expressed mathematically as x = logₐn.

How to solve this problem?

We know that logₐx + logₐy = logₐ(xy)

Here, log₆(x) + log₆(3) = log₆( x+1)

i.e. log₆(3x) = log₆( x+1)

i.e. 3x = x + 1

i.e. 3x - x = 1

i.e. 2x = 1

i.e. x = 1/2

Therefore, the solution to this equation log₆(x) + log₆(3) = log₆( x+1) is x = 1/2. So, option A is correct.

Learn more about logarithm here -

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Related Questions

The festival sends Dani a map of where people will launch their kites. A portion of the map is shown. How far apart does each kite flyer stand? Round to the nearest foot. Explain please hurry

Answers

Answer:

16 ft.

Step-by-step explanation:

Distance Formula:

A = (2,2)

B = (12,14)

So, sqrt(12^2 + 10^2) = 16 ft.

This is the same for B to C.

So, 16 ft.

Mark me as Brainliest if this is correct! I really appreciate it! :D

please help me in math

Answers

When we have negative exponents, we can move the term with the exponent to the bottom of the fraction. This is also known as multiplying by the reciprocal (and changing the negative exponent to be positive!).

The reciprocal of z^-3 would be 1 / z^3.

Hope this helps!! :)

Please Answer! Will Give Thanks and Brainliest!


Solve the picture below please!

Answers

Answer:

2nd and 3rd options

Step-by-step explanation:

If y varies directly as x and y =14, when x = 3, find the equation that relates x and y.

Answers

Answer:

y  =

x  =

y  =  14 =  =  14

x  =  3  =  =  3

x  =  =  3

y  =  =  3

Step-by-step explanation:

PELASE HELP ME I NEED HELP
1-Which or the following ratios are equivalent?


2-find this area.


3-what is the area of this trapezoid?

Answers

Answer:

1) 22:14 and 11:7

2) 39m^2

3) 39cm^2

78215431 in international system
78215431 in indian system

Answers

International - seven eight million two hundred fifteen thousand four hundred thirty one

Indian - seven crore eighty two lack fifteen thousand four hundred thirty one

78'215'431

7'82'15'431

Please Help!! It would mean a lot :)

Answers

The answer would be A because you are adding 7 into the value of the sum of (2m)

if a(b)^x-c=d then x=?

Answers

Answer:

a

Step-by-step explanation:

a(b)^x=d+c

a(b)^x ÷ a=d+c ÷a(b)^x=d+c ÷alet d+c÷a =u(b)^x=ulogb^u=xlogb^d+c ÷a=x it really helpfull

Steve is a store manager. He is paid a straight commission of 1.25% on total store sales. Find his commission on monthly store sales of $156,215.

Answers

Answer:

$1,952

Step-by-step explanation:

1.25 * 156,215/100

=1,952

The lengths of the legs of a right triangle are 8 inches and 9 inches. What is the length of the hypotenuse? Round to the nearest inch. Enter your answer in the box.

Answers

hyp^2 = 8^2 + 9^2
hyp^2 = 64 + 81
hyp^2 = 145
hot = 12 inch

The length of the hypotenuse in a right triangle is 12 inches.

What is the Pythagoras theorem?

The relationship between the three sides of a right-angled triangle is explained by the Pythagoras theorem, commonly known as the Pythagorean theorem. The Pythagoras theorem states that the square of a triangle's hypotenuse is equal to the sum of its other two sides' squares.

Given that, the lengths of the legs of a right triangle are 8 inches and 9 inches.

Let the length of the hypotenuse be x.

Here, x²=8²+9²

x²=64+81

x²=145

x=√145

x=12.04

x≈12 inches

Therefore, the length of the hypotenuse is 12 inches.

To learn more about the Pythagoras theorem visit:

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Find the value of x that makes:

Answers

Answer:

correct value of x = 5

Step-by-step explanation:

[tex] \frac{ {( - 2)}^{4x + 2} }{ {( - 2)}^{2x} } = {( - 2)}^{12} \\ = \frac{ {( - 2)}^{4 \times 5 + 2} }{ { ( - 2)}^{2 \times 5 } } \\ = \frac{ {( - 2)}^{22} }{ { ( - 2)}^{10} } \\ = \frac{4194304}{1024} \\ = 4096 = 4096(i.e \: {( - 12)}^{12} = 4096) \\ [/tex]

Jamie took a quiz and got 15 questions out of 20 questions right what was his grade percentage?

Answers

Answer:75%

Step-by-step explanation:

15 out of 20 is 75%

around 75 percent is the answer

What is the y-intercept of this line?
A
(3,0)

B
(0,-3)

C
(0,-1)

D
(-1,0)

Answers

Answer:

C. (0,-1)

Step-by-step explanation:

the line passes through the y-axis at the point (0,-1) which makes it the y- intercept.

PLEASE HELP ME THANK U *0*

Find the RATIO and the EXACT VALUE of the given Cos A.​

Answers

Answer:

Step-by-step explanation:

take angle A as reference angle

using cos rule

cos A=adjacent/hypotenuse

cos A=12/13

cos A=0.92

A=cos 23

A=23 degree

for ratio,

cos A=12/13

Cos( A ) = AC / AB [ Ratio ]

Cos( A ) = 12 / 13 [ Ratio ]

Cos( A ) = 0. 92307 [ Exact value ]

Help ASAP please !!!!

Answers

Answer:

1) 2 days

2) 11 days

3) may 16

5) 5 days

6) may 29th

Step-by-step explanation:

if someone can, check out my recent questions too please

Find the surface area of a cone with a radius of 4cm and a slant height of 7cm. Assume π has a value of 3.14

A. 50.3cm^2
B. 88.0cm^2
C. 138.2cm^2
D. 276.5cm^2

Answers

Answer:

138.23cm^2

Step-by-step explanation:

I took an assessment with the same question

I used a calculator for this, and got the answer of C. 138.2cm^2

The resale value of a diamond ring when purchased new is $10,000. The ring is expected to gain 12% of its value each year. Which graph shows the predicted value of the ring over time? Use the drop-down menus to complete your answer below.​

Answers

Answer:orange graph k,/ 10,000/ Increases

Step-by-step explanation:

which kind of triangle is shown

Answers

Answer:

scalene triangle

Step-by-step explanation:

Step-by-step explanation:

Scalene Triangle bcoz none of the sides are equal

A bag contains 4 green marbles, 5 yellow marbles and 6 red marbles. What is the
probability of selecting a yellow or red marble? Justify your answer.

Answers

Answer:

11/15

Step-by-step explanation:

P('Y' or 'R') = 5/15 + 6/15 which is 11/15

a solid cube of side 8cm is dropped into a cylindrical tank of radius 7cm . calculate the rise in the water level if the original depth of water was 9cm

Answers

the answer is 3.3cm

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions

Answers

Answer:

Step-by-step explanation:

The width of a rectangle is 4 meters less than twice the length. The area is 96 square meters. Find dimensions

Spencer borrowed $50 from his cousin, who charged him 6% simple interest each year. If Spencer pays his cousin back 3 years later, how much will he owe his cousin?
A
$56
B
$59
С
$68
D
$6

Answers

Given:

Principal = $50

Rate of simple interest = 6%

Time = 3 years

To find:

The amount after 3 years.

Solution:

Formula for simple interest:

[tex]I=\dfrac{P\times r\times t}{100}[/tex]

Where, P is principal, r is the rate of interest in percentage and t is the number of years.

Putting [tex]P=50,\ r=6,\ t=3[/tex] in the above formula, we get

[tex]I=\dfrac{50\times 6\times 3}{100}[/tex]

[tex]I=\dfrac{900}{100}[/tex]

[tex]I=9[/tex]

Formula for amount is:

[tex]A=P+I[/tex]

Where, P is principal and I is the simple interest.

Putting [tex]P=50,\ I=9[/tex], we get

[tex]A=50+9[/tex]

[tex]A=59[/tex]

Therefore, the correct option is B.


The graph shows the relationship between the number of granola bars and amount of calories per bar.

Answers

part a y= x × 100

Step-by-step explanation:

1 bar is 100 calories so you would times it by 100 for every bar

answer quickly please!

- 4(2.5x - 1.25) - 3x

Answers

Answer:

-13x+5

Step-by-step explanation:

Distributive Property

-4 (2.5x) + (-4)(-1.25) - 3x

Multiply 2.5 by -4

- 10x - 4 * 1.25 - 3x

Multiply -4 by 1.25

- 10x + 5 -3x

Subtract 3x from -10x

-13x + 5

Hope this helped!

THE SUM OF A NUMBER, X
AND 9 is 21.
SOLVE FOR X.

Answers

Answer:

X + 9 = 21

Isolate the variable, meaning getting rid of the constants

-9         -9

X = 12

Answer:

12

Step-by-step explanation:

To get the answer 12 you must:

Subtract 21 - 9

That would get you your answer.

What minus 9 equals 11

Answers

Answer:

20

Step-by-step explanation:

20 - 9 = 11

I hope this helps

Answer:

20

Step-by-step explanation:

Call the number you're trying to find  n.

"What" becomes  n.

n - 9 = 11

To "undo" the subtraction and reveal the value of  n ,  ADD 9 to both sides of the equation.  (Addition is the inverse operation of subtraction.)

n = 11 + 9 = 20

When y is directly proportional to x, the value of y = -2 when x = 4. What is the value of y when x = 8?

Answers

Answer:

y = -4

Step-by-step explanation:

When y is directly proportional to x,

= y ∝ x

= y = kx

Finding k

the value of y = -2 when x = 4

-2 = k4

k = -2/4

k = -1/2

. What is the value of y when x = 8

Finding y

y = kx

y = -1/2 × 8

y = -4

What is the portion if the base is 450 and the rate is 19%

Answers

Answer:

portion = 85.50

Step-by-step explanation:

[tex]Rate = (\frac{Portion}{Base})*100%[/tex]

Rate = 19%, Base = 450

[tex]19 = \frac{portion}{450} \times 100\\\\19 \times 450 = portion \times 100\\\\\frac{8550}{100} = portion \\\\portion = 85.50[/tex]

Do the functions in the table represent exponential growth or exponential decay?
Move the options to the spaces to correctly complete the table.
Function
Exponential Growth or Decay?
(x) = 0.5G)
f (x) = 0.9(0.5)*
f (x) = 21(1.6)
FC) = 320(3)

Answers

Decay, decay, growth decay

A line with a slope of 1 passes through the point (6,2). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = x - 4

Step-by-step explanation:

Given:

Passes through (6, 2)

m = 1

Slope-intercept:

y - y1 = m(x - x1)

y - 2 = 1(x - 6)

y - 2 = x - 6

y = x - 4

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