Log based question.

Question

 Calculate log.  a) -log ( 1.1001×10 ^{-7) .please explain stepwise  to  solve this problem.}

Comments

Thankyou ....

Answer 1

We have -log ( 1.1001×10^-7)

By logarithm product rule i.e 

log_a(m.n) = log_a m + log_a n

we have, 

= -(log1.1001 + log10^-7)

= -log1.1001 - log10^-7

= - 0.0414 + 7log10

= -0.0414 + 7

= 6.9586