Question

If log7 on base 10 =a, then log 10(1/70)=??

Answer 1

i hope it will be helpful..

Answer 2

the value of $log_{10}(1/70)$ = -(a + 1)

it is given that log(7 on base 10) = a

we know, $log_a(1/b)=-log_ab$

we have to find value of $log_{10}(1/70)$

= $-log_{10}(7\times10)$

= $-log_{10}(70)$

we know, $log_a(mn)=log_am+log_bn$

=- ($log_{10}7+log_{10}10$)

= -(a + 1)

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