How do you solve logb121=2?

1 Answer
Nov 5, 2016

±11, see explanation.

Explanation:

if you have ab=c, logarithms go logac=b. That's just a thing that you need to know, I'm not quite sure how to explain that, but if we apply it to the logarithm in the problem...

logb121=2b2=121.

And from here you just take the square root of both sides and get ±11. It's plus or minus because 112 and (11)2 equal 121. (Negative multiplied by a negative equals a positive).