Solve log2 (3x - 7) = 3

Evaluate

lo g_{10} (2) \times (3 x - 7) = 3

Divide both sides

\frac{lo g _{10} ( 2 ) \times ( 3 x - 7 )}{lo g _{10} ( 2 )} = \frac{3}{lo g _{10} ( 2 )}

Divide the numbers

3 x - 7 = \frac{3}{lo g _{10} ( 2 )}

Move the constant to the right side

3 x = \frac{3}{lo g _{10} ( 2 )} + 7

Add the numbers

More Steps

3 x = lo g_{2} (128000)

Divide both sides

\frac{3 x}{3} = \frac{lo g _{2} ( 128000 )}{3}

Divide the numbers

x = \frac{lo g _{2} ( 128000 )}{3}

Solution

More Steps

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

Alternative Form

x \approx 5.655261

Solve the equation