Question

If 5+ log base 10 x = 5 log base 10 y, then express x in terms of y.

Answer 1

Answer:

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Answer 2

The value of x  in terms of y is $x= \frac{y^{5} }{10^{5} }$.

Step-by-step explanation:

Given:

$5+log_{10} x=5log_{10} y$

To Find:

The value of x  in terms of y.

Solution:

As given - $5+log_{10} x=5log_{10} y$.

$5+log_{10} x=5log_{10} y$

$5=5log_{10} y-log_{10} x$

$5=log_{10} y^{5} -log_{10} x$

$5=log_{10} \frac{y^{5} }{x}$

$log_{10} 10^{5} =log_{10} \frac{y^{5} }{x}$

$10^{5} =\frac{y^{5} }{x}$

$x= \frac{y^{5} }{10^{5} }$

Thus,the value of x  in terms of y is $x= \frac{y^{5} }{10^{5} }$.

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