I need help fast! Answer and explanation please! (see attachment) Solve for x, show your work.

x = -5/2

Step-by-step explanation:

3 ^ ( 4x-5) = (1/27) ^( 2x+10)

Rewriting 1/27 as 3^-3

3 ^ ( 4x-5) = (3^-3) ^( 2x+10)

We know that a^b^x = a^(b*c)

3 ^ ( 4x-5) = (3) ^(-3*( 2x+10))

3 ^ ( 4x-5) = (3) ^( -6x-30)

The bases are the same so the exponents are the same

4x-5 = -6x-30

Add 6x to each side

10x -5 = -30

Add 5 to each side

10x -5+5 = -30+5

10x = -25

Divide each side by 10

10x/10 = -25/10

x = -5/2

hi there!

how can i assist you?