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Given log 1...

Question

Given ${log}_{10} x = a, {log}_{10} y = b$
Write down $10^{2 b}$

A

y^{a}

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B

y

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C

y^{2}

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D

y^{b}

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Solution

The correct option is C $y^{2}$
${log}_{10} y = b$

$10^{b} = y$

$∴ 10^{2 b} = (10^{b})^{2} = y^{2}$

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