Question

If log5=0.6990, then find log125 and 500

Answer 1

• log125

=log5^3=3log5

=3×0.6990

=2.0970

• log500

=log(5×100)=log5+log100

=log5+log10²

=0.6990+2log10

=0.6990+2(1)

=0.6990+2

=2.6990

Answer 2

Answer:

in this question we use log m ^n

so ,

log 125

= log 5 ^3

=3 log 5. log 5 = 0.6990

=3×0.6990

=2.097

and log 500

= log 5×100

we know that log m.n = log m + log n

=log 5 + log 100

=0.6990+ log 10 ^2

= 0.6990+2 log 10. log 10 = 1

=0.6990 +2

=2.6990

hope it helps u