abimichael abimichael
  • 20-03-2021
  • Mathematics
contestada

What is the value of x in the equation ln (x + 6) – ln (2x – 1) = 0?

Respuesta :

saramarchessault
saramarchessault saramarchessault
  • 20-03-2021

Answer:

x = 7

Step-by-step explanation:

(7 + 6) - (14 - 1) = 13 - 13 = 0

Answer Link
jimrgrant1 jimrgrant1
  • 20-03-2021

Answer:

x = 7

Step-by-step explanation:

Using the rules of logarithms

log x - log y = log ([tex]\frac{x}{y}[/tex] )

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

Given

ln(x + 6) - ln(2x - 1) = 0

ln ([tex]\frac{x+6}{2x-1}[/tex] ) = 0

[tex]\frac{x+6}{2x-1}[/tex] = [tex]e^{0}[/tex] = 1 , then

2x - 1 = x + 6 ( subtract x from both sides )

x - 1 = 6 ( add 1 to both sides )

x = 7

Answer Link

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