Question

How do you solve this problem 7= ln(x+5)

Answer 1

Answer:

x = 1091.63315843

Setting Up:

7 = ln ( x + 5 )

ln translates to "log" with an "e" as the base or subscript ( a small "e" at the bottom right of the "g" in log).

You take the base of the log and put it to the power of "7" ( "7" is the natural log of ( x + 5 ) in this problem ).

The value of which the logarithm is calculated is set equal to the base of the logarithm to the power of the calculated logarithm of the value.

e^7 = x + 5

Solving:

e = 2.71828182846

Natural logarithms are logarithms to the base of the constant 'e'.

e^7 = x + 5    ( simplify e^7 )

1096.63315843 = x + 5

Subtract 5 from each side.

1091.63315843 = x