Question 858979
How do I write this expression as a single log?
3logx^1/6 + 2log3x - 5logx - 4logy + 1/2logx
Write the exponent equiv
{{{log((x^(3/6))) + log((9x^2)) - log((x^5)) - log((y^4)) - log((x^(1/2)))}}}
reduce fraction
{{{log((x^(1/2))) + log((9x^2)) - log((x^5)) - log((y^4)) - log((x^(1/2)))}}}
first and last logs cancel
{{{log((9x^2)) - log((x^5)) - log((y^4))}}}
{{{log(((9x^2)/(x^5*y^4)))}}}
{{{log((9/(x^(5-2)*y^4)))}}} = {{{log((9/(x^3*y^4)))}}}