SOLUTION: I need help writing Log(base1/6)6X^2 as a natural log.

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Question 153967: I need help writing Log(base1/6)6X^2 as a natural log.
Found 2 solutions by roneisha123, Fombitz:
Answer by roneisha123(2) About Me  (Show Source):
You can put this solution on YOUR website!
you are retared

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Changing bases in logarithm is accomplished using the following formula,
log%28a%2C%28y%29%29=log%28b%2C%28y%29%29%2Flog%28b%2C%28a%29%29
In your case, a=1/6 and b=e.
log%28%281%2F6%29%2C%286X%5E2%29%29=log%28e%2C%286X%5E2%29%29%2Flog%28e%2C%281%2F6%29%29
Remember that
log%28e%2CX%29=ln%28X%29
log%28%281%2F6%29%2C%286X%5E2%29%29=ln%286X%5E2%29%2Fln%281%2F6%29
That's the exact answer, the following is an approximation,
log%28%281%2F6%29%2C%286X%5E2%29%29=ln%286X%5E2%29%2F%28-1.79176%29
log%28%281%2F6%29%2C%286X%5E2%29%29=-0.55811%2Aln%286X%5E2%29