Question 888691
ln(2x) + 10 = 2ln(2)


subtract 10 from both sides of the equation to get:


ln(2x) = 2ln(2) - 10


since 2ln(2) is equal to ln(2^2) = ln(4), your equation becomes:


ln(2x) = ln(4) - 10


simplify to get:


ln(2x) = -8.613705639


this is true if and only if e^-8.613705639 = 2x


divide both sides of this equation by 2 to get:


x = e^-8.613705639 / 2 which becomes:


x = 9.079985952 * 10^-5.


that should be your answer.


replace x in the original equation with that to see if the equation holds true.


original equation is:


ln(2x) + 10 = 2ln(2) which becomes:


ln(2*9.079985952 * 10^-5) + 10 = 2ln(2) which becomes:


1.386294361 = 1.386294361


this confirms the solution is correct.


i did not see a y in your equation.