Quandaries
and Queries 

Hi I'm a mature age university sudent in Western Australia and am studying externally. Its been a while since I last studied maths, Could you help me with the following? Given ln x=7.1; ln y=8.2, Find ln(x^{3}y^{7}) Given ln x=7.1: ln y=8.2, Find ln(x^{3}/lnx^{7}) Thanks, Jo 

Hi Jo, The solutions to these problems rely on three properties of the logarithm function. These are
For your problem
if you apply the first of the properties above you get
and then the third of the properties gives
ln x = 7.1 and ln y = 8.2 so the exprression is finally
Are you sure that your second problem is correct? Penny 

