SOLUTION: I'm doomed...I don't understand this...please help. Solve the equation. Write answers in exact form using logarithms if needed (no decimals): log3(x+24)-log3(x+2)=2

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Question 769062: I'm doomed...I don't understand this...please help.
Solve the equation. Write answers in exact form using logarithms if needed (no decimals): log3(x+24)-log3(x+2)=2
Answer by Edwin McCravy(20056)   (Show Source): You can put this solution on YOUR website!
log3(x+24) - log3(x+2) = 2

Use the logarithm rule  on the left side:

log3 = 2

Use the rule to change a log equation into an exponential equation:

                         becomes 

 = 32

 = 9

Multiply through by (x + 2)

x + 24 = 9(x + 2)

x + 24 = 9x + 18

   -8x = -6

     x = 

     x = 



Edwin
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