How do you solve ln(4x+1)=ln(2x+5)?

1 Answer
Jul 11, 2016

x = 2

Explanation:

Remembering that taking the exponential of a natural logarithm gets rid of the natural logarithm, we can apply it in this case to have a simpler equation, giving us

cancel(e)^(cancel(ln)(4x+1)) = cancel(e)^(cancel(ln)(2x+5))

4x+1 = 2x+5

Now, subtracting 2x from both sides yields

2x+1 = 5

Subtracting 1 from both sides gives us

2x = 4, so x = 2