Solve 3log(3)(x-2)=12 - Socratic AI (ScanMath)

Evaluate

3 lo g_{10} (3) \times (x - 2) = 12

Divide both sides

\frac{3 lo g _{10} ( 3 ) \times ( x - 2 )}{3 lo g _{10} ( 3 )} = \frac{12}{3 lo g _{10} ( 3 )}

Divide the numbers

x - 2 = \frac{12}{3 lo g _{10} ( 3 )}

Cancel out the common factor 3

x - 2 = \frac{4}{lo g _{10} ( 3 )}

Move the constant to the right side

x = \frac{4}{lo g _{10} ( 3 )} + 2

Add the numbers

More Steps

x = lo g_{3} (90000)

Solution

More Steps

x = 2 + 4 lo g_{3} (10)

Alternative Form

x \approx 10.383613

3log(3)(x 2)=12