# Math Help - Need Help With a Logarithmic Problem

1. ## Need Help With a Logarithmic Problem

I dont understand what I am doing wrong.

Here it is
Given log a ^2= .69, log a ^3=1.10 and log a ^5=1.61, use the properties of logarithms to evaluate:

log a 1/square root of 15

2. ## Re: Need Help With a Logarithmic Problem

The question is not clear. What do you want to find
log a 1/square root of 15???? or log a^1/square root of 15??

3. ## Re: Need Help With a Logarithmic Problem

Here is a picture of the problem. Thank you.

4. ## Re: Need Help With a Logarithmic Problem

$\log_a{\frac{1}{\sqrt{15}}} = -\log_a{\sqrt{15}} = -\frac{1}{2}\log_a{15} = -\frac{1}{2}\log_a(3 \cdot 5) = -\frac{1}{2}\left(\log_a{3}+\log_a{5}\right)$