Exercise
$\log_{9}\left(-11x+2\right)=\log_{9}\left(x^{2}+30\right)$
Step-by-step Solution
Learn how to solve polynomial long division problems step by step online. Solve the logarithmic equation log9(-11*x+2)=log9(x^2+30). 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 30 and -2. Move everything to the left hand side of the equation.
Solve the logarithmic equation log9(-11*x+2)=log9(x^2+30)
Final answer to the exercise
$x=-4,\:x=-7$