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by **itgl72** on Fri Nov 30, 2012 3:29 pm

I am checking my answer to expand my expression:

log₃(3square root x /81)

I get:

1/3log₃ x-4

Did I do this correctly?

**Sponsor**

by **stapel_eliz** on Sat Dec 01, 2012 12:23 pm

itgl72 wrote:log₃(3square root x /81)

Your formatting is ambiguous. Do you mean either of the following?

. . . . . $\mbox{a) }\, \log_3\left(3\left(\frac{\sqrt{x}}{81}\right)\right)$

. . . . . $\mbox{b) }\, \log_3\left(3\left(\sqrt{\frac{x}{81}}\right)\right)$

Thank you. :wink:

by **strumbore** on Fri Jan 11, 2013 12:51 am

Expanding log₃[3SQRT(x/81)]

here are 5 BIG HINTS:

1) Product Property of Logarithms
2) A root is an exponent (find out what SQRT means!)
3) Power Property of Logarithms
4) Quotient Property of Logarithms

5) log_aa = 1

Now just do it!

...

ok, answer is (1/2)log₃x - 2

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