Question

For what value does x does 3^2x= g^3x-4
A)1
B)2
C)3
D)4

Answer 1

B: 2

Explanation:

Answer 2

The question has an error because the letter g does not make sense in the context.

I will assume that the g is really the number 9.

In that case, the equation to solve would be:


`3^(2x) = 9^(3x-4)`

You can solve for x following these steps:

1) make
`9=3^2`

=>


`3^(2x) = 3^(2(3x-4))`

2) Given that the basis are equal the exponents have to be equal =>

2x = 2(3x - 4)

3) Solve:

2x = 6x - 8

6x - 2x = 8

4x = 8

x = 8/4

x = 2 which is the option B) which leads me to think that a 9 instead of g in the equation should be right.

Under that assumption, the answer is the option B) x = 2.