Need Help With a Logarithmic Problem

**jorgon1022** · January 2nd 2013, 08:06 PM

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

Can any of you please help with this problem? I would really appreciate it.

**ibdutt** · January 2nd 2013, 08:11 PM

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??

**jorgon1022** · January 2nd 2013, 08:19 PM

$Need Help With a Logarithmic Problem-math.jpg$

Here is a picture of the problem. Thank you.

**skeeter** · January 3rd 2013, 06:02 AM

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

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