Question

Write 2lnx−3lny+1/2lnz as a single logarithm.

Answer 1

2lnx−3lny+1/2lnz=lnx²-lny³+ln√z=(lnx²+ln√z)-lny³=ln(x²√z)-lny³=ln$\frac{ x^{2} \sqrt{z} }{ y^{3} }$