Exercise
$log\:\left(3x+9\right)\:=\:log\:\left(5x+5\right)$
Step-by-step Solution
Learn how to solve addition of numbers problems step by step online. Solve the logarithmic equation log(3*x+9)=log(5*x+5). For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \log(a)=\log(b) then a must equal b. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Subtract the values 5 and -9. Combining like terms 3x and -5x.
Solve the logarithmic equation log(3*x+9)=log(5*x+5)
Final answer to the exercise
$x=2$