Question

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

Answer 1

5/2 or 2.5

Explanation:

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

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

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

4x - 5 = - 6x - 30

10x = - 25

= - 25/10

= - 5/2 or 2.5

Hope this helps!

Answer 2

x = -5/2

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