SOLUTION: If ln x=6 and ln y=2 then ln (x^2/y) = ?

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If ln x=6 and ln y=2 then ln (x^2/y) = ?      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
given:
ln+x=6 and ln+y=2

then ln+%28x%5E2%2Fy%29+=log%28x%5E2%29-log%28y%29=2+log%28x%29-log%28y%29=2%2A6-2=12-2=10

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


The log of the quotient is the difference of the logs:



The log of an argument raised to a power is the power times the log of the argument:



Substitute the given values and do the arithmetic.

John

My calculator said it, I believe it, that settles it
The Out Campaign: Scarlet Letter of Atheism