Question 890998
Please help I am stuck on this problem.

Round to the nearest thousandth

log5(5z/z-2) = 2
<pre>
{{{log (5, (5z/(z - 2))) = 2}}}
{{{5z/(z - 2) = 5^2}}} ------ Exponential form
{{{5z/(z - 2) = 25}}}
{{{25(z - 2) = 5z}}} -------- Cross-multiplying
25z - 50 = 5z
25z - 5z = 50
20z = 50
z = {{{50/20}}}, or {{{highlight_green(highlight_green(2.5))}}}, or {{{2.500}}}