Question

Answer both with work please

Answer 1

log 30 + log 6

Answer:

`2log_3 2 + log_3 5`

Explanation:

`\because \: log 30 + log 6 \\ = log(30 * 6) \\ = log \: 180 \\eq \: log \: 36`

`2log_3 2 + log_3 5\\</p><p>= log_3 2^2 + log_3 5\\</p><p>= log_3 4 + log_3 5\\</p><p>= log_3 (4* 5)\\</p><p>= log_3 20`