How do you solve this problem

7 = ln (x+5)

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