Question

Express 5^3=x as a logarithmic equation

Answer 1

take logs of both sides
log x = log 5^3
log x = 3 log 5

Answer 2

`log_5x=3`

Explanation:

We have been given the equation
`5^3=x`

We can use below relation between logarithm and exponential function:

`b^y=x\Rightarrow y=\log_bx` for x>0 and 0<b≠1

Here, b = 5, y= 3

Hence, using the above relation, the logarithmic equation is

`3=\log_5x\\\\log_5x=3`