If (\log\_{10}x = y,) then (\log\_{1000}x^{2})is equal to | MATH - LOGARITHMS | SolveeIt

If $\log_{10}x = y,$ then $\log_{1000}x^{2}$ is equal to

$y^{2}$

$2y$

$\frac{3y}{2}$

$\frac{2y}{3}$

Answer

$\frac{2y}{3}$

Explanation

$\log_{1000}x^{2} = \log_{10^{3}}x^{2} = 2\log_{10^{3}}x = \frac{2}{3}\log_{10}x = \frac{2}{3}y$ .

Question: If \(\log_{10}x = y,\) then \(\log_{1000}x^{2}\)is equal to...