How do you solve log332=x?

1 Answer
Nov 27, 2015

This is already 'solved' in that x=log332

but you can use the change of base formula to find:

x=log(32)log(3)=ln(32)ln(3)3.15465

Explanation:

The change of base formula tells use that if a,b,c>0 then:

logab=logcblogca

This allows us to express log332 in terms of common (base 10) logarithms or natural (base e) logarithms:

log332=log(32)log(3)=ln(32)ln(3)3.15465