change of base on logs

**200001** · February 28th 2010, 04:52 AM

how does:

log base 4 of 3

become

log base 2 of root 3?

Im looking for the step by step please.
Thanks in advance

**e^(i*pi)** · February 28th 2010, 05:12 AM

Originally Posted by 200001

how does:

log base 4 of 3

become

log base 2 of root 3?

Im looking for the step by step please.
Thanks in advance

Change of base rule: $\log_c{a} = \frac{\log_b{a}}{\log_b{c}}$

Power Rule: $k\, \log_b{a} = \log_b{a^k}$

$\log_4{3} = \frac{\log_2{3}}{\log_2{4}}$

Can you use those two rules to get the answer

Spoiler:

**200001** · February 28th 2010, 05:19 AM

Yes, awesome, thanks
i was missing my numerator on the half power and couldnt make the link between that and it becoming a power

Much appreciated

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