Question

expand the following.1)log 1000

Answer 1

log 1000=log (2×2×2×5×5×5)

=log(2^3*5^3)
=log2^3 +log 5^3here we used log ab = log a+log b
=3log2+3log 5 here log a^n = n log a

Answer 2

log 1000 can  be written as log( 2^3 + 5^3)
= log 2^3 + log 5^3
= 3log 2 + 3 log5