college algebra
posted by Deb .
Solve the logarithmic equation.
Log x +log2x = 4
Wouldn't this be no solution because log x is undefined?

logx + log 2x = 4
log (x(2x)) = 4 , using the rule log AB = logA + logB
log (2x^2) = 4
so 2x^2 = 10^4
2x^2 = 10000
x^2= 5000
x = ± √ 5000
but x > 0 for log x to be defined
so x = √5000