Question 152980
{{{3*logb(x) - 4*logb(y) + 1/2*logb(z)}}}
See this page for the 'rules' about logs --> http://www.mathwords.com/l/logarithm_rules.htm


We will use rule 4 first
{{{3*logb(x) - 4*logb(y) + 1/2*logb(z)}}}
{{{logb(x^3) - logb(y^4) + logb(z^(1/2))}}}

Now use rule 3
{{{logb(x^3) - logb(y^4) + logb(z^(1/2))}}}
{{{logb(x^3/y^4) + logb(z^(1/2))}}}

Now use rule 2
{{{logb(x^3/y^4) + logb(z^(1/2))}}}
{{{logb((x^3 * z^(1/2)) /y^4) }}}