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raketka [301]
4 years ago
10

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

Mathematics
2 answers:
nekit [7.7K]4 years ago
4 0

Answer:

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

VLD [36.1K]4 years ago
4 0

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

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