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solve the equation

 

log3(x+2) = -2

 

please show steps

thank you!

 Jan 16, 2021
 #1
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This can be simplified to:

\(3^{-2}=x+2\)

Then, just solve the linear equation:

\(\frac{1}{9}=x+2\\ x=\boxed{-\frac{17}{9}}\)

 Jan 16, 2021
 #2
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log3 (x+2) = - 2

log(x+2) / log 3 = - 2

log(x+2) = - 2 log3

 

 

 

 

log (x+2) = log3-2

x+2 = 1/32

x = -2 + 1/9 = - 17/9

 Jan 16, 2021

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