Question

Maria wrote the equation log(x/2)+log(20/x2) What is the solution to Maria’s equation?

Answer 1

The solution to Maria's equation is x=5/4

Answer 2

log x - log 2 + log 20 - 2 log x

Explanation:

We need to solve the equation:

`log((x)/(2)) + log((20)/(x^2))`

We know that log(x/y) = log x - log y and

log(x^2) = 2logx

Solving we get:

`(log x - log 2) + (log20 - log x^2)\\(log x - log 2) + (log20 - 2 log x)`

The solution is:

log x - log 2 + log 20 - 2 log x