Question

Simplify and remove logarithm from the equation $2\log x-\log y=1$

• A. $x^2=2y$
• B. $x^{10}=10y$
• C. $x^2=10y$
• D. $x^{10}=2y$

Answer 1

The correct option is C $x^2=10y$

$2\log x-\log y=1$
$\therefore \log x^2-\log y=1$ ....($\log a^b=b\log a$)
$\therefore \log \frac{x^2}{y}=\log 10$ ...($\log \frac{a}{b}=\log a-\log b$)
$\therefore x^2=10y$