Question

Solve for x:
log3/2 8/27=x-3

a) 6 b)3 c)-3 d)0

Answer 1

log_3/2 (8/27)   =   x - 3

- [ log_3/2 (27/8) ]   =   x - 3

- [ log_3/2 (3/2)^3 ]   =   x - 3

- 3[ log_3/2 (3/2) ]   =   x - 3

- 3(1)   =   x - 3                              [ Since log_a (a)  =  1]

- 3   =   x - 3

 - 3 + 3   =  x

x  =  0

The solution is x = 0.