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Standard Logarithm

log5 x = y an...

Question

${log}_{5} x = y$ and $5^{2 y + 3}$ in terms of $x$ is $m x^{2}$ , then value of $m$ is equal

A

125

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B

160

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C

132

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D

150

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Solution

The correct option is A $125$
${log}_{5} x = y x = 5^{y} 5^{2 y + 3} = (5^{y})^{2} . 5^{3} = x^{2} \times 125 = 125 x^{2}$

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