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Exponents Of Real Numbers — Maths STD 9 — Question

Maharashtra BoardEnglish MediumSTD 9MathsExponents Of Real Numbers2 Marks
Question
If $5^{3\text{x}}=125$ and $10^{\text{y}}=0.001$ find x and y.
✓

Answer

$5^{3\text{x}}=125$$\Rightarrow5^{3\text{x}}=5^3$
$\Rightarrow3\text{x}=3$
$\Rightarrow\text{x}=1$
And, $10^\text{y}=0.001$
$\Rightarrow10^\text{y}=\frac{1}{1000}$
$\Rightarrow10^\text{y}=\frac{1}{10^3}$
$\Rightarrow10^\text{y}=10^{-3}$
$\Rightarrow\text{y}=-3$
Hence, $\text{x}-1$ and $\text{y}=-3$

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