Question

45 Points, Question 2 In Attachment. Asap if possible.

Answer 1

Answer: x = $\frac{-5}{2}$

Step-by-step explanation:

$3^{4x-5}$ = $(\frac{1}{27}) ^{2x+10}$

1/27 can be written in index form as $3^{-3}$

The equation then becomes:

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

Equating the coefficient

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

4x - 5 = -6x - 30

10x = -30 + 5

10x = -25

x = -25/10

x = -5/2

x = - 2.5