simplify log(base4/9)(27/16) without a calculator

i've tried everything i could think of without a calculator, so here i am.

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- January 5th 2010, 02:48 AMpurebladeknightlogs again
simplify log(base4/9)(27/16) without a calculator

i've tried everything i could think of without a calculator, so here i am. - January 5th 2010, 03:00 AMProve It
- January 5th 2010, 03:06 AMpurebladeknight
- January 5th 2010, 06:07 AMGrandad
Hello purebladeknightHere's an alternative approach.

Let

Then

...but whether you think this answer is any simpler is a matter for debate!

If you want to get rid of fractional bases, you can express this in terms of using the formula

Grandad