What is the solution to the equation below? log6 4x 2 - log6 x=2

Answers

Answer 1

Answer:

The solution of the logarithmic equation is x = 9.

What is logarithm?

Logarithm, a mathematical concept involving multiplication. It is the exponent or power to which a base must be raised to yield a given number.

For the given situation,

The equation is log6 4x^2 - log6 x = 2.

The solution for this logarithmic equation is

⇒ $log_(6) 4x^(2) -log_(6) x=2$

⇒ $log_(6)( (4x^(2) )/(x)) =2$

⇒ $log_(6)4x=2\n$

We know that the equation $log_(b)n=x\n$ can be expressed as $b^(x)=n$ .

⇒ $4x=6^(2)$

⇒ $x=(36)/(4)$

⇒ $x=9$

Hence we can conclude that the solution of the logarithmic equation is x = 9.

Learn more about the logarithms here

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Answer 2

Answer:

Answer:x=9

Step-by-step explanation:

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What's 3x divided by 46

Answers

3x/46

3/46 x

decimal = 0.06x

I hope that's help !

Simplify the expression

14+2y+3-6y

Answers

14+2y+3-6y=
14+3+2y-6y=
17-4y

Answer:

Step-by-step explanation:

How do you simplify an expression?

Here are the basic steps to follow to simplify an algebraic expression:

remove parentheses by multiplying factors.

use exponent rules to remove parentheses in terms with exponents.

combine like terms by adding coefficients.

combine the constants.

Which of the following ratios is equivalent to 8:3? A. 3/8
B. 8/11
C.11/8
D.16/6

Answers

WORK:
8×2 = 16
3×2 = 6
ANSWER:
D.) 16/6

D. is the answer cause if you simplify 16/6 it equals 8/3

Find the present change 70 to 56

Answers

Hey There!

To find the answer subtract 70-56, to find the change, the change is 14.

Have A Brainly Day!

What type of correlation is shown in the scatter plot? A.
positive correlation

B.
negative correlation

C.
no correlation

Answers

A. positive correlation because even though it looks pretty scattered, in most cases the GPA is higher when the hours spent studying is higher

Rewrite as a simplified fraction.
2.14 (.14 being repeated) = ?

Answers

Simplified fraction of 2.14(.14 being repeated) is 212/99.

What are simplified fraction?

A fraction is said to be in its simplified if the fractions in their lowest, reduced and simplest form.

Now the given fraction is 2.141414....

Let x = 2.14141414.... -------- (1)

Multiply by 100 on both sides.

100x = 214.141414....

100x = 214.141414... -------- (2)

Subtract (1) from (2),

100x - x = 214.141414... - 2.14141414....

99x = 212

Divide by 99 on both sides, we get

x = 212/99

Hence the simplified fraction is 212/99

More about simplified fraction:

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Answer:

$(212)/(99)$

Step-by-step explanation:

We require 2 equations with the repeated part after the decimal point. Then subtract them to eliminate the repeating part.

let x = 2.1414... (1) ← multiply both sides by 100

100x = 214.1414... → (2)

Subtract (1) from (2)

100x - x = 214.1414 - 2.1414, that is

99x = 212 ( divide both sides by 99 )

x = $(212)/(99)$

That is 2.1414... = $(212)/(99)$

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