Question

Given 3logx+1/2logy=2,express y in terms of x

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The value of y in terms of x is $\dfrac{10000}{x^6}$.

Step-by-step explanation:

Consider the given equation is

$3\log x+\dfrac{1}{2}\log y=2$

Using properties of log we get

$\log x^3+\log y^{1/2}=2$         $[\because \log a^b=b\log a]$

$\log(x^3y^{1/2})=2$              $[\because \log ab=\log a+\log b]$

$x^3\sqrt{y}=10^2$                  $[\because \log a=b\Rightarrow a=10^b]$

$\sqrt{y}=\dfrac{100}{x^3}$

Taking square on both sides.

$y=\dfrac{10000}{x^6}$

Therefore, the value of y in terms of x is $\dfrac{10000}{x^6}$.

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