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bulgar [2K]
4 years ago
7

Log3x + log3(x2 + 2) = 1 + 2log3x

Mathematics
1 answer:
AnnZ [28]4 years ago
7 0

Answer:

x = 1 , 2.

Step-by-step explanation:

I am assuming these are logs to the base 3.

log3 x + log3 (x^2 + 2) = 1 + 2log3x

-log3 x + log3 (x^2 + 2) = 1

log3 [ (x^2 + 2) / x] = 1            NOTE: 1 = log3 3, so:

log3 [(x^2 + 2) / x] = log3 3

(x^2 + 2) / x = 3

x^2 - 3x + 2 = 0

(x - 1)(x - 2) = 0

x = 1 , 2.

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