Question

How do you solve `36^ (x + 2) = 6 ^(4x)`?

Answer 1

`x=2`

Explanation:

`1`. Knowing that `36=6^2`, simplify `36^(x+2)`.

`36^(x+2)=6^(4x)`

`6^(2(x+2))=6^(4x)`

`6^(2x+4)=6^(4x)`

`2`. Since the powers both have the same base on either side of the equation, the exponents are equal to each other.

`2x+4=4x`

`3`. Solve for `x`.

`2x=4`

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