Question

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

Answer 1

Answer:

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.