Question

if 3 log x + 2 log y - 2 =0 . find the value of x²× y²

Answer 1

I think it should bex^3×y^2


Hope it helps
Pls mark brainliest

Answer 2

Answer:

The value of x²× y² is $\frac{100}{x}$.

Step-by-step explanation:

The given equation is

$3logx+2logy-2=0$

$3logx+2logy=2$

$logx^3+logy^2=2$             $[\because loga^b=bloga]$

$log(x^3\times y^2)=2$        $[\because loga+logb=log(ab)]$

$10^{log(x^3\times y^2)}=10^{2}$

$x^3\times y^2=100$             $[\because 10^{loga]=a]$

Divide both sides by x.

$x^2\times y^2=\frac{100}{x}$

Therefore the value of x²× y² is $\frac{100}{x}$.