Can some 1 help me with this maths thingy...?

Question

I got confused with this simple logarithmic equation

ln( K / 4.69) = 2.08

K = 37.44

I don really understand how this happen

Can U help me ?

Answer 1

ln(x) is the opposite of e^(x), so they cancel each other out.

Put both sides of the equation as the exponent of e:

ln( K / 4.69) = 2.08

e^[ ln( K / 4.69) ] = e^( 2.08 )

K / 4.69 = e^( 2.08 )

Solve for K:

K = 4.69·e^( 2.08 )

Use the calculator for this:

K ≈ 37.5409592

So it would be approximately 37.54 and not 37.44.

Answer 2

k/4.69=e^2.08

k=4.69*e^2.08

Answer 3

K/4.69=2.08

multiply 4.69 on both sides

K=4.69X2.08

K=37.44