Solve for x. 3^x-1=9^x+2

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-5 = x

Step-by-step explanation:

3^ (x-1) = 9^ (x+2)

Replace 9 with 3^2

3^ (x-1) = 3^2^ (x+2)

We know that a power to a power means the powers are multiplied

a^b^c = a^ (b*c)

3^ (x-1) = 3^ (2x+2)

When the bases are the same, the powers have to be the same

x-1 = 2x+4

Subtract x from each side

x-x-1 = 2x-x+4

-1 = x+4

Subtract 4 from each side

-1-4 = x+4-4

-1-4 = x

-5 = x