Log troubles (1 Viewer)

[survivor]

how do you simplify
2lnx-1/2 lny

N.B. ln = loga
just simplified to make it easier

thankyou in adavnce

 

[kini mini]

ln = log base e, NEVER anything else.

Recall that ln (x/y) = (ln x) - (ln y)

and that ln (x^y) = y*(ln x) and your question is doable .

 

[fatmuscle]

is that a 1/2 (half) or what?

 

[underthesun]

seems like it..

2lnx = lnx + lnx = ln(x²)

similarly

0.5 ln (y) = ln(y^0.5)
0.5 ln (y) = ln(squareroot(y));

hence, 2lnx - 1/2 ln(y) = ln(x²/y^0.5)