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

1 Answer
May 1, 2018

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