Question: If $5^{3 x}=125$ and $10^{y}=0.001 .$ Find $x$ and $y .$
Solution:
$5^{3 x}=125$ and $10^{y}=0.001$
$5^{3 x}=5^{3}$
$x=1$
Now,
$10^{\mathrm{y}}=0.001$
$10^{\mathrm{y}}=10^{-3}$
$\mathrm{y}=-3$
Therefore, the value of x = 1 and the value of y = – 3
