Exercise
$\log_{14}\left(6x-1\right)=\log_{14}\left(x^2-17\right)$
Step-by-step Solution
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation log14(6*x+-1)=log14(x^2+-17). 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 1 and -17. Move everything to the left hand side of the equation.
Solve the logarithmic equation log14(6*x+-1)=log14(x^2+-17)
Final answer to the exercise
$x=8$