Prove this logarithmic eaquation

**mehdi** · January 31st 2011, 08:28 AM

Hi

,
Can anybody prove this quation please?
thanks in advance

**BAdhi** · January 31st 2011, 08:48 AM

use $log_a(b)=\frac{1}{log_b(a)}$

Spoiler:

**Plato** · January 31st 2011, 09:28 AM

Here is another way.
$\log_a(N)=\dfrac{\ln(N)}{\ln(a)}$ use that to change all on the left hand side.
You can get LHS to equal $\dfrac{[\ln(N)]^2[\ln(abc)]}{ \ln(a) \ln(b) \ln(c)}$ .

Work on the RHS you can reduce it. Equality will follow.

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