Question

Solve the logarithmic equation for x.
log x + log(x − 48) = 2

Answer 1

Using the rules of logarithms
\[\log_{} x+\log_{} (x-48)=\log_{}[x(x-48)]=2\]
\[\log_{} 100=2\]
\[x ^{2}-48x-100=0\]
Now you need to solve the quadratic equation to find the values of x.