Question

Express 45 = x as a logarithmic equation.

Answer 1

Answer:

$4^5=x$ as a logarithmic equation $\log_4 (x)=5$

Step-by-step explanation:

Given : Expression $4^5=x$

To find : Express the expression as a logarithmic equation?

Solution :

Expression $4^5=x$

Taking log with base 4 both side,

$\log_4(4^5)=\log_4 (x)$

Using logarithmic property, $\log_a a^b=b$

$5=\log_4 (x)$

Therefore, $4^5=x$ as a logarithmic equation $\log_4 (x)=5$

Answer 2

Answer:

$5 = log_{4}x$

Step-by-step explanation:

You know that $45=4^{5}$

Then:  $4^{5}=x$

Taking log with base 4 in both sides, we have:

$log_{4} 4^{5}=log_{4}x$

Applying the logarithmic rules, we have:

$log_{4}4^{5}=log_{4}x$  →   $5log_{4}4=log_{4}x$

→ $5 = log_{4}x$

In conclusion, 45 = x expressed as a logarithmic equation equals: $5 = log_{4}x$