Question

Given: `log_b(4) = r`, `log_b(2) = t`, `log_b(3) = p` Find: `log_b(54) =` ?

Answer 1

`log_b54=t+3p=r/2+3p`

Explanation:

.

`log_b4=r, :. log_b2^2=r, :. 2log_b2=r, :. log_b2=r/2`

`log_b2=t=r/2`

`log_b3=p`

`log_b54=?`

`log_b54=log_b((2)(27))=log_b((2)(3)^3)=log_b2+log_b3^3=log_b2+3log_b3=t+3p=r/2+3p`