What is the solution of in (x+6) - in9? Round your answer to the nearest hundredth.

x=53.50

x=60.50

x=66.50

x=72.50

Ln (x+6) - ln 9 = 2

ln (x + 6) / 9 = 2

(x + 6) / 9 = e^2

x + 6 = 9e^2

x = 9e^2 - 6

x = 60.5

Answer: (B) x = 60.50

We can solve this by rewriting the equation:

y = ln (x+6) - ln (9)

which can also be written as

y = ln ((x+6) / 9))

This means that e to the power of y is equal to (x+6/9):

e^y = (x+6) / 9

Plugging in 2 for y:

e² = (x+6) / 9

9e² = x + 6

66.501 = x + 6

60.501 = x

Answer is B) x = 60.50