Question

Express 45 = x as a logarithmic equation.

Answer 1

The expression is log 4 x = 5

Answer 2

Answer:

Option 2nd is correct

$\log_4 x = 5$

Step-by-step explanation:

Using logarithmic rules:

$\log_b b^x = x$

Given that:

$4^5 = x$

Taking log with base 4 to both side we have;

$\log_4 4^5 = \log_4 x$

Apply the logarithmic rules we have;

$5 = \log_4 x$

or

$\log_4 x = 5$

Therefore, $4^5 = x$ as a logarithmic equation is: $\log_4 x = 5$