Question

Express 2log7 5 as a single logarithm

Answer 1

Is the question 2log7^5 ?

Answer 2

`\text{log}_7(5^2)`

Explanation:

We have been given a logarithm
`2\text{log}_7(5)`. We are asked to write our given logarithm as a single logarithm.

Using property
`n\cdot \text{log}_a b=\text{log}_a b^n` we will get,

`2\text{log}_7(5)=\text{log}_7(5^2)`

Therefore, the single logarithm of our given logarithm would be
`\text{log}_7(5^2)`.