If log10 x - 2a and log10 y - b2- then 102b - 1 in terms of y is my4- Then what is the value of m-

The correct option is B 10 Since, log _ 10 x = a and log _ 10 y = b 2 x = 10 ^ a and y= 10 ^ b 2 #160; #160;Consider, ...

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Byju's Answer

Standard XII

Mathematics

Logarithmic Differentiation

If log10 x ...

Question

If ${log}_{10} x = 2 a$ and ${log}_{10} y = \frac{b}{2}$ , then $10^{2 b + 1}$ in terms of $y$ is $m y^{4}$ . Then what is the value of $m$ ?

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Solution

The correct option is B $10$
Since, ${log}_{10} x = a$ and ${log}_{10} y = \frac{b}{2}$
$⟹ x = 10^{a}$ and $y = 10^{\frac{b}{2}}$
Consider, $10^{2 b + 1}$
$= 10^{2 b} \cdot 10$
$= 10^{4 (\frac{b}{2})} \cdot 10$
$= y^{4} \cdot 10$
Hence, C will be correct answer.

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Similar questions

Q. If

{log}_{10} x = 2 a

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{log}_{10} y = \frac{b}{2}

, then

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\sqrt{x}

If true then write 1 and if false then write 0.

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If log10x=2a and log10y=b2, then 102b+1 in terms of y is my4. Then what is the value of m?

The correct option is B 10Since, log10x=a and log10y=b2⟹x=10a and y=10b2 Consider, 102b+1=102b⋅10=104(b2)⋅10=y4⋅10Hence, C will be correct answer.

If ${log}_{10} x = 2 a$ and ${log}_{10} y = \frac{b}{2}$ , then $10^{2 b + 1}$ in terms of $y$ is $m y^{4}$ . Then what is the value of $m$ ?

The correct option is B $10$
Since, ${log}_{10} x = a$ and ${log}_{10} y = \frac{b}{2}$
$⟹ x = 10^{a}$ and $y = 10^{\frac{b}{2}}$
Consider, $10^{2 b + 1}$
$= 10^{2 b} \cdot 10$
$= 10^{4 (\frac{b}{2})} \cdot 10$
$= y^{4} \cdot 10$
Hence, C will be correct answer.