Exercise
$2log\left(3x+1\right)=log\left(x+3\right)+1$
Step-by-step Solution
Learn how to solve properties of logarithms problems step by step online. Solve the logarithmic equation 2log(3*x+1)=log(x+3)+1. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). Express the numbers in the equation as logarithms of base 10. Any expression to the power of 1 is equal to that same expression. The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments.
Solve the logarithmic equation 2log(3*x+1)=log(x+3)+1
Final answer to the exercise
$x=\frac{4+\sqrt{1060}}{18},\:x=\frac{4-\sqrt{1060}}{18}$