Solve log3(2x-5)=2

Evaluate

lo g_{10} (3) \times (2 x - 5) = 2

Divide both sides

\frac{lo g _{10} ( 3 ) \times ( 2 x - 5 )}{lo g _{10} ( 3 )} = \frac{2}{lo g _{10} ( 3 )}

Divide the numbers

2 x - 5 = \frac{2}{lo g _{10} ( 3 )}

Move the constant to the right side

2 x = \frac{2}{lo g _{10} ( 3 )} + 5

Add the numbers

More Steps

2 x = lo g_{3} (24300)

Divide both sides

\frac{2 x}{2} = \frac{lo g _{3} ( 24300 )}{2}

Divide the numbers

x = \frac{lo g _{3} ( 24300 )}{2}

Solution

More Steps

x = \frac{5 + 2 lo g _{3} ( 10 )}{2}

Alternative Form

x \approx 4.595903

Solve the equation