Question

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

Answer 1

Answer: x =
`(-5)/(2)`

Explanation:

`3^(4x-5)` =
`((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