Question 244987: x=12^(log base 12 of 5)
I think that's the same as:
x=12^(5 log base 12), but I'm just trying to follow previous patterns and I'm lost Found 2 solutions by dabanfield, jim_thompson5910:Answer by dabanfield(803) (Show Source):
You can put this solution on YOUR website! You are thinking of the rule that log base 12 of 5^n = n * (log base 12 of 5) which doesn't apply here.
The base 12 log of a number, say z, is the power that 12 needs to be raised to to produce the number z:
z = log base 12 of 5 if and only if 12^z = 5 by definition of a log.
In this case x = log base 12 of 5 is the number that 12 would need to be raised to to produce the number 5. So actually raising 12 to the (log base 12 of 5) produces a value of 5.
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