Let's solve your equation step-by-step. 2 x + 3 = 5 2 x Solve Exponent. 2 x + 3 = 5 2 x log ( 2 x + 3 ) = log ( 5 2 x ) (Take log of both sides) ( x + 3 ) * ( log ( 2 ) ) = 2 x * ( log ( 5 ) ) x + 3 = ( log ( 5 ) log ( 2 ) ) * ( 2 x ) x + 3 = 2.321928 * 2 x x + 3 = 4.643856 x (Simplify both sides of the equation) x + 3 − 4.643856 x = 4.643856 x − 4.643856 x (Subtract 4.643856x from both sides) − 3.643856 x + 3 = 0 − 3.643856 x + 3 − 3 = 0 − 3 (Subtract 3 from both sides) − 3.643856 x = − 3 − 3.643856 x − 3.643856 = − 3 − 3.643856 (Divide both sides by -3.643856) x = 0.823304