Question 82436
Rewrite as a single logarithm:
{{{aLog[3](x)-bLog[3](y)-cLog[3](z)}}} Apply the "power rule" for logarithms:{{{Log[b]M^p = pLog[b]M}}}
{{{Log[3]x^a - Log[3]y^b - Log[3]z^c}}} Now apply the "quotient rule" for logarithms:{{{Log[b]M - Log[b]N = Log[b](M/N)}}} 
{{{Log[3](x^a/y^b) - Log[3]z^c}}} Apply the quotient rule once more.
{{{Log[3]((x^a/y^b)/z^c)}}} Simplify.
{{{Log[3](x^a/(y^b*z^c))}}}