The relation between x- y and z where x-81- y-4 and z-3 written in the exponential form is -A- z raised to the power of y - xB- x raised to the power of y-zC- y raised to the power ofz-xD- x raised to the power ofz - y

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Logarithms

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Question

The relation between x, y and z where x = 81, y = 4 and z = 3 written in the exponential form is :

x raised to the power of y=z

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z raised to the power of y=x

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x raised to the power ofz=y

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y raised to the power ofz=x

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Solution

The correct option is B
z raised to the power of y=x

From the definition of logarithm itself, $y = l o g_{z} x$ implies $z^{y} = x$ .
$l o g_{3} 81 = 4 \Leftrightarrow 3^{4} = 81$ .

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The relation between x, y and z where x = 81, y = 4 and z = 3 written in the exponential form is :

The correct option is B z raised to the power of y=x From the definition of logarithm itself, y=logz x implies zy=x. log3 81=4⇔34=81.

The correct option is B
z raised to the power of y=x

From the definition of logarithm itself, $y = l o g_{z} x$ implies $z^{y} = x$ .
$l o g_{3} 81 = 4 \Leftrightarrow 3^{4} = 81$ .