Log Question: log 4{sqrt}32y  TOPIC_SOLVED

Complex numbers, rational functions, logarithms, sequences and series, matrix operations, etc.

Log Question: log 4{sqrt}32y

Postby heather on Tue Mar 16, 2010 4:06 pm

The question I am stuck on is log 4{sqrt}32y
i know if there is no base shown it is log base 10, but when i plug it into my calculator I get zero for my answer.

How do i go about solving this question?
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Re: Log Question: log 4{sqrt}32y

Postby nicknation on Tue Mar 16, 2010 8:23 pm

"solving" means an equation. did you mean "simplify" or "expand" or "evaluate" or something?

is the base 10? or 4? what is inside the {sqrt}?

thnx
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Re: Log Question: log 4{sqrt}32y

Postby heather on Wed Mar 17, 2010 3:56 pm

I'm sorry,
the base is 10, and its supposed to be the square root of 32y.
I'm sorry, I'm still getting the hang of posting math language, but I am getting there.
And the question says "express each as a sum, difference or multiple of logarithms. Wherever possible, evaluate logarithms of the result."
heather
 
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Re: Log Question: log 4{sqrt}32y  TOPIC_SOLVED

Postby nicknation on Thu Mar 18, 2010 1:47 am

so you're supposed to expand log10(4 * sqrt[32y]) ?

the sqrt[32] is sqrt[2 * 16] = 4 * sqrt[2]

the sqrt[] is the 1/2 power

to expand use the rules they show here

you can evaluate the log10(16) and the (1/2) * log10(2) but not the (1/2) * log10(y)
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