Question

Log 2=0.3010 and log 3=0.4771 then log 18=?

Answer 1

Answer:

I think the answer is 1.255

Answer 2

Solution:

We know that

$18 = 9 \times 2 \\ \\ log(18) = log(9 \times 2) \\ \\ since \: log(xy) = log(x) + log(y) \\ \\ = > log(9) + log(2) \\ \\ = > log( {3}^{2} ) + log(2) \\ \\ since \: \: log( {m}^{n} ) = n log(m) \\ \\ = > 2 log(3) + log(2) \\ \\ now \: put \: the \: value \: of \: log(2) =0 .3010 \\ \\ log(3) = 0.4771 \\ \\ = > 2 \times 0.4771 + 0.3010 \\ \\ = > 0.9542 + 0.3010 \\ \\ log(18) = 1.2552$
Hope it helps you.