`log_(1/5) (x)` Rewrite the logarithm as a ratio of (a) common logarithms and (b) natural logarithms.

balajia | Student

Answer updated

balajia | Student

(a) Common logarithms

log_(1/5)x=(log_(10)(x))/(log_(10)(1/5))

=-(log_(10)(x))/(log_(10)(5))`

(b) Natural logarithms`

log_(1/5)x=(log_e(x))/(log_e(1/5))`

=-(log_e(x))/(log_e(5))`