Log(50) + log( (x)/(2) ) = 2

Question

asked Mar 23, 2021 156k views

1 Answer

Klaus Johan · Answer 1 · 2021-03-27T23:53:55+0000

$\log50+\log\frac x2=2$

Condense the logarithms on the left into one:

$\log\left(50\cdot\frac x2\right)=\log(25x)=2$

Assuming the base of the logarithm is 10, write both sides as powers of 10. This lets us eliminate the logarithm:

$10^(\log(25x))=10^2\implies25x=100$

Divide both sides by 24 to solve for
:

$x=\frac{100}4\implies\boxed{x=25}$