seanpritzeljr
seanpritzeljr seanpritzeljr
  • 24-02-2024
  • Mathematics
contestada

Solve for x. ln(3x+2)=4
A. x=2/3
B. x=3/ e4+2
C. x=e4+2/3
D. x=e4-2/3​

Respuesta :

jimrgrant1 jimrgrant1
  • 24-02-2024

Answer:

D

Step-by-step explanation:

using the property of logarithms

• [tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

given

ln(3x + 2) = 4

[ Note that ln = [tex]log_{e}[/tex] ] , then

3x + 2 = [tex]e^{4}[/tex] ( subtract 2 from both sides )

3x = [tex]e^{4}[/tex] - 2 ( divide both sides by 3 )

x =  [tex]\frac{e^4-2}{3}[/tex]

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