Question

Express 2log7 5 as a single logarithm. A. log7 52 B. log7 511 C. log7 115 D. log7 √ 5

Answer 1

`2\log_75=\log_75^2\to A.\\\\Used:\ \log_ab^n=n\cdot\log_ab`

Answer 2

The correct option is A)
`\log_75^2`

Explanation:

Consider the provided logarithmic expression

`2\log_75`

Now use the property of logarithm:
`x\cdot\log_ab=\log_ab^x`

Here the value of x is 2, the value of a is 7 and the value of b is 5.

Now by using the above property of logarithm:

`2\log_75=\log_75^2`

Hence, the correct option is A)
`\log_75^2`