Question

Solve for X: 3*4^x+1 -2 =19

Answer 1

What is the exact question 3*4^(x+1) -2 =19 (Note the brackets)!

If yes, then x= (ln(7/4))/ln(4)

Answer 2

how did you get that ?

Answer 3

& what exactly is ln ?

Answer 4

it is log to the base e. Here's how. 3*4(x+1)-2=19
or, 3*4^(x+1)= 21
or 4^(x+1)=7 (dividing by 3 in both sides)
Now taking log to base e (or ln) in both sides:
(x+1)ln4=ln7
x+1=ln7/ln4
x=(ln7/ln4)-1
Or, x= (ln7-ln4)/ln4
x= ln(7/4)/ln4

Answer 5

so ln is equal to log ?

Answer 6

Well, log can have anything as it's base. In ln the base is constant e. But the properties of ln and log are same.