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## Homework Statement

I got this problem in an exam today, and I think I may have the right answer but I don't understand how I'm supposed to know if I do. It's very confusing.

## Homework Equations

If logb (9) = 1.5 and logb (2) = 0.5 what is logb (5throot(36))?

## The Attempt at a Solution

So here it seemed futile to try and find b because it seems to have 2 different values at once. Here's what I did...:

logb 9 + logb 2 + logb 2 = 1.5 + 0.5 + 0.5

logb 36 = 2.5

1/5 logb 36 = 0.5

logb 5throot(36) = 0.5