Question
Given $\log _{10} \mathrm{x}=2 \mathrm{a}$ and $\log _{10} \mathrm{y}=\frac{b}{2}.$ Write $10^{\mathrm{a}}$ in terms of $\mathrm{x}.$
✓
Answer
$\log_{10}x = 2a$
$\Rightarrow x = 10^{2a} ...[$ Removing logarithm from both sides $]$
$\Rightarrow x^{1/2} = 10^a$
$\Rightarrow 10^a = x^{1/2}$
$\Rightarrow x = 10^{2a} ...[$ Removing logarithm from both sides $]$
$\Rightarrow x^{1/2} = 10^a$
$\Rightarrow 10^a = x^{1/2}$
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