Solve 2log8(5x-3)=4

Evaluate

2 lo g_{10} (8) \times (5 x - 3) = 4

Divide both sides

\frac{2 lo g _{10} ( 8 ) \times ( 5 x - 3 )}{2 lo g _{10} ( 8 )} = \frac{4}{2 lo g _{10} ( 8 )}

Divide the numbers

5 x - 3 = \frac{4}{2 lo g _{10} ( 8 )}

Cancel out the common factor 2

5 x - 3 = \frac{2}{lo g _{10} ( 8 )}

Move the constant to the right side

5 x = \frac{2}{lo g _{10} ( 8 )} + 3

Add the numbers

More Steps

5 x = lo g_{2^{3}} (51200)

Divide both sides

\frac{5 x}{5} = \frac{lo g _{2^{3}} ( 51200 )}{5}

Divide the numbers

x = \frac{lo g _{2^{3}} ( 51200 )}{5}

Simplify

More Steps

x = \frac{lo g _{2} ( 51200 )}{15}

Solution

x = \frac{11 + 2 lo g _{2} ( 5 )}{15}

Alternative Form

x \approx 1.042924

Solve the equation