ezbreezymck ezbreezymck
  • 16-07-2021
  • Mathematics
contestada

what is the solution for this equation?

In(x+6)-in(2x-1)=0

answers in the image!

what is the solution for this equation Inx6in2x10 answers in the image class=

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wegnerkolmp2741o
wegnerkolmp2741o wegnerkolmp2741o
  • 16-07-2021

Answer:

x=7

Step-by-step explanation:

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

add ln(2x-1) to each side

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

Raise each side to the base e

e^ln(x+6) = e^ln(2x-1)

x+6 = 2x-1

Subtract x from each side

x+6-x = 2x-1-x

6 = x-1

Add 1 to each side

6+1 = x-1+1

7=x

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QueenOfAttitude
QueenOfAttitude QueenOfAttitude
  • 16-07-2021

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{gold}{Answer \red{:)}}}}}}}}[/tex]

[tex]\sf ln(x+6)-ln(2x-1)=0\\\\\tt ln(x+6)=ln(2x-1)\\\\ \sf e^{ln(x+6)}=e^{ln(2x-1)}\\\\ \tt x+6=2x-1\\\\\sf 2x-1=6+1\\\\\bold x=7[/tex]

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