Question

Write each number as a power of given base.8/27;base 2/3

Answer 1

Suppose x=log(8/27)with base 2/3

Then,

(2/3)^x=8/27

(2/3)^x=(2/3)^3

So, x=3

Hence, the value of log(8/37) under base 2/3 is 3.