SOLUTION: logarithmic equation solve 3^x+2=81 need help Im kinda slow..lol

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Question 638182: logarithmic equation
solve 3^x+2=81 need help Im kinda slow..lol
Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!

logarithmic equation
solve 3^x+2=81 need help Im kinda slow..lol

3%5E%28x+%2B+2%29+=+81

3%5E%28x+%2B+2%29+=+3%5E4 ----- Changing 81 to base of 3

x + 2 = 4 ---- If bases are equal, their exponents are too.

x = 4 - 2

highlight_green%28x+=+2%29

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Check
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3%5E%28x+%2B+2%29+=+81 ----- 3%5E%282+%2B+2%29+=+3%5E4 ---- 3%5E4+=+3%5E4 (TRUE)

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