Question

If logx(base) y=100 and log2(base)x=10 what is the value of y?

Answer 1

Solution:

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i ) $If \: log_{a}x =N\: then\: a^{N} = x$

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Here , Given

$log_{y} x = 100 \: \implies x = y^{100}$\\

$log_{x} 2 = 10 \implies 2= x^{10}$\\

$\implies 2= (y^{100})^{10}$

$\implies 2=y^{1000}$

$\implies 2^{\frac{1}{1000}} = y$

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