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GenaCL600 [577]
3 years ago
14

Express 45 = x as a logarithmic equation.

Mathematics
2 answers:
aliya0001 [1]3 years ago
7 0

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

Dvinal [7]3 years ago
6 0

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

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