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Logarithms — MATHEMATICS STD 9 — Question

ICSE BoardEnglish MediumSTD 9MATHEMATICSLogarithms2 Marks
Question
Given $\log_5y = n$. Express $5^{3n + 2}$ in terms of $ y.$
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Answer

$\log _5 y=n$
$5^n=y$
Consider $5^n=y$
$\Rightarrow\left(5^n\right)^3=y^3 $
$\Rightarrow 5^{3 n}=y^3 $
$\Rightarrow 5^{3 n} \times 5^2=y^3 \times 5^2 $
$\Rightarrow 5^{3 n+2}=25 y^3$

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