log1/3 (2x-3)^5=15 -5log3 (2x-3)=15log3 3

Question

log1/3 (2x-3)^5=15

-5log3 (2x-3)=15log3 3

Answer 1

1) log1/3 (2x-3)^5=15

5log1/3(2x-3) = 15 

log1/3(2x-3) = 3

log1/3(2x-3) = log1/3(1/27)

2x-3 = 1/27

54x - 81 = 1

54x = 82

x = 1.5

2) -5log3 (2x-3)=15log3 3

log3(2x-3) = -3log3 3

2x-3 = 1/27

54x - 81 = 1

54x = 82

x = 1.5