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1 Answer

log12(x+1) + log12x = 1

log12[x(x+1)] = 1

x(x+1) = 12^1

x^2 +x = 12

x^2 +x - 12=0

- 12 = 4( -3)

4-3 = 1

(x+4)(x -3) = 0

x = -4  and x = 3

x = -4 is not an answer, there is not log of a negative number

log12(x^2+x) = 1

log 12(3^2 +3) = 1

log12(12) = 1

1 = 1, x = 3 is athe solution
by Level 8 User (36.8k points)

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