Describe the power rule for logarithms and give an example.

chillywilly12a

chillywilly12a

Answered question

2021-11-06

Describe the power rule for logarithms and give an example.

Answer & Explanation

Willie

Willie

Skilled2021-11-07Added 95 answers

Step 1
The power rule for logarithms:
The logarithmic power rule be used to access exponential terms. When a logarithmic term
has an exponent, the logarithm power rule says that we can transfer the exponent to the front of the logarith
loga(x)m=mloga(x)
Proof:
Consider,
loga(x)m=loga(xxxxxxxxx)  (m times)
Use:
loga(xy)=loga(x)+loga(y)
We write,
xx)=loga(x)+loga(x)+loga(x)........+loga(x)
(m times)
=mloga(x)
Hence proved
Step 2
Example:
1) log10(6)5
2) log3(3)4=4log3(3)

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