Solve the following equation algebraically. 9^(x-2)=(1/27)^(x+4)

-1.6=x

Step-by-step explanation:

First, find a common base.

A common base of 9 and 27 is 3.

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

Simplify

3^(2x-4) = 3^(-3x-12)

Take away the common bases

2x-4 = -3x-12

Add 12 to both sides

2x+8 = -3x

Subtract 2x from both sides

8 = -5x

Divide both sides by -5

-1.6 = x

-1.6 = x

d is the answer

step-by-step explanation:

answer

false

explanation

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