Question

Write the expression as a single logarithmLog 3^60 - log 3^10

Answer 1

50 log 3

Explanation:

Given the expression:

`\log 3^(60)-\log 3^(10)`

First, rewrite the exponents as a product of the logarithm terms.

`=60\log 3-10\log 3`

Next, factor out log 3.

`\begin{gathered} =(60-10)\log 3 \\ =50\log \text{ 3} \end{gathered}`

The expression as a single logarithm is 50 log 3.