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Gemiola [76]
3 years ago
14

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

Mathematics
1 answer:
netineya [11]3 years ago
3 0
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.

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