Short Answer 
To solve the equation log(3x – 1) = log‚ÄöCC(8), first recognize that the logarithms have different bases. Then, use the change of base formula to express both sides in the same base, leading to the equation 3x – 1 = log(8) / log(2), which allows you to isolate x for further simplification.
Step 1: Understand the Equation
Start with the equation: log(3x – 1) = log2(8). This equality involves logarithms with different bases, which means they cannot be directly compared as they are. Recognizing that both sides must equal the same value is crucial for solving the equation.
Step 2: Change the Base
To solve for 3x – 1, convert the base of the logarithm on the right side. Use the change of base formula: log2(8) = log(8) / log(2). This allows for both sides of the equation to be expressed using the same base, making it easier to compare.
Step 3: Rewrite the Equation
Now rewrite the original equation using the new expression: 3x – 1 = log(8) / log(2). This shows that 3x – 1 is equal to the value of the right-hand side. From here, you can solve for x by isolating it and simplifying the equation further.