Question

Solve the following log 5+3ln( x-2) = 32

Answer 1

Answer:

Are you solving for X? Because if so X is 11

Answer 2

Answer:

x ≈ 8105.1

Step-by-step explanation:

Using the rule of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

Given

5 + 3ln(x - 2) = 32 ( subtract 5 from both sides )

3ln(x - 2) = 27 (divide both sides by 3 )

ln(x - 3) = 9

[ note that lnx = $log_{e}$ x ]

x - 2 = $e^{9}$ ( add 2 to both sides )

x = 2 + $e^{9}$ ← exact value

x ≈ 8105.1