Question

If log 2=a and log 3=b express log 12 in terms of a and b.

PLEASE HELP ME PLEASEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!!!

Answer 1

2a +b

Explanation:

The rule for logarithms is ...

log(xy) = log(x) +log(y)

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Applying this to the given problem, we have ...

log(12) = log(2×2×3)

= log(2) +log(2) +log(3)

= a + a + b

= 2a +b