Why do we divide log2(4) by 15 and why log4(15) turned to log2(15) i need deep explanation and understand the rest but i didnt get where the first step came from

Why do we divide log24 by 15 and why log415 turned to log215 i need deep explanation and understand the rest but i didnt get where the first step came from class=

Respuesta :

Answer:

see below

Step-by-step explanation:

log 4 (15)

We need to change the base from 4 to 2

log b (a) = log x(a) / log x(b)  where x is the base that we need

log4 (15) = log 2 (15) / log 2 (4)