SOLUTION: If ln x=6 and ln y=2 then ln (x^2/y) = ?
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Question 474230: If ln x=6 and ln y=2 then ln (x^2/y) = ?
Found 2 solutions by MathLover1, solver91311:
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
given:
and
then
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The log of the quotient is the difference of the logs:
\ =\ \ln\left(x^2\right)\ -\ \ln(y))
The log of an argument raised to a power is the power times the log of the argument:
\ -\ \ln(y)\ =\ 2\ln\left(x\right)\ -\ \ln(y))
Substitute the given values and do the arithmetic.
John
My calculator said it, I believe it, that settles it
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