Solve log2(x-1)=3

Evaluate

lo g_{10} (2) \times (x - 1) = 3

Divide both sides

\frac{lo g _{10} ( 2 ) \times ( x - 1 )}{lo g _{10} ( 2 )} = \frac{3}{lo g _{10} ( 2 )}

Divide the numbers

x - 1 = \frac{3}{lo g _{10} ( 2 )}

Move the constant to the right side

x = \frac{3}{lo g _{10} ( 2 )} + 1

Add the numbers

More Steps

x = lo g_{2} (2000)

Solution

More Steps

x = 4 + 3 lo g_{2} (5)

Alternative Form

x \approx 10.965784

Solve the equation