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Mathematics 7 Online
OpenStudy (anonymous):

Please help me with this question. :D

OpenStudy (anonymous):

\[\log_{10} A=a\] \[\log_{10} B=b\]

OpenStudy (anonymous):

\[\log_{10} (A^3/\sqrt{B})\]

OpenStudy (agent0smith):

First use the log law log(x / y) = log x - log y

OpenStudy (anonymous):

\[\log_{10} (A^3)-\log_{10} (\sqrt{B})\]

OpenStudy (agent0smith):

Now use the rule log(x^a) = a logx on both terms remember a square root is the same as B^(1/2)

OpenStudy (anonymous):

\[3\log_{10} (A)-1/2\log_{10} (B)\]

OpenStudy (anonymous):

sorry that took so long. I got confused. :P

OpenStudy (agent0smith):

no you've got it now :) now...logA = a and logB = b, so finish off :)

OpenStudy (agent0smith):

btw you don't have to write the base 10. Log with no base is assumed to be 10.

OpenStudy (anonymous):

ohh that makes sense. xD would it just be 3a-1/2b?

OpenStudy (agent0smith):

Yep!

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