Question

If log, 2 = 0.69, then log, 32 =

Answer 1

Explanation:

log 2 = 0.69

Prime factorise 32.

32 = 2 * 2 * 2 * 2 *2 = 2⁵

`\boxed{log \ a^(m)=m * log \ a}`

`log \ 32 = log \ 2^(5)`

`= 5*log \ 2\\\\= 5*0.69\\\\= 3.45`