Question

5In2 + 2In5

rewrite as a single log

Answer 1

`\ln 800`

Explanation:

Recall the following two rules of logarithms.

`n \log a = \log a^n`

`\log a + \log b = \log ab`

`5 \ln 2 + 2 \ln 5`

=
`\ln 2^5 + \ln 5^2`

=
`\ln 32 + \ln 25`

=
`\ln (32 * 25)`

=
`\ln 800`