Question

Find log `1/64` using the properties of logarithms and the values of each log given?

Use the properties of logarithms and the values below to find the logarithm indicated.

log 7 = 0.8
log 12 = 1.1
log 8 = 0.9
Find log `1/64`

Answer 1

`log(1/64)` is about `-1.8`.

Explanation:

Use some of the log and exponent properties:

`color(white)=log (1/64)`

`=log(1/8^2)`

`=log(8^-2)`

`=-2log8`

`=-2*0.9`

`=-1.8`