Question #35320

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Answer 1 · 2017-06-12T19:27:06

$z=-5$

Take logs (type does not matter)

$" "2ln(x)=3ln(y)" "....................Equation(1)$
$(z+1)ln(x)=(z-1)ln(y)" "...........Equation(2)$

Multiply both sides of $Equation(2)$ by $2/(z+1)$

$2ln(x)=(2(z-1))/(z+1)ln(y)" "............Equation(2_a)$

$Equation(1) -: Equation(2_a)$

$1=(3(z+1))/(2(z-1))" "...Equation(3)$

$2z-2=3z+3$

$3z-2z=-2-3$

$z=-5$