Jika ²log (x+2) + ²log (x-5) = 3, penyelesaiannya adalah….

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a. -3 atau 6
b. -6 atau 3
c. -3
d. 3
e. 6

TOLONG BANTU KAK, PAKE CARA PENYELESAIANNYA.

Jika ²log (x+2) + ²log (x-5) = 3, penyelesaiannya adalah….

 log_{2}(x + 2) + log_{2}(x - 5) = 3, xe(5, + infty )

 log_{2}((x + 2)) + (x - 5)) = 3

 log_{2}(( {x}^{2} - 5x + 2x - 10) = 3

 {x}^{2} - 5x + 2x - 10 = {2}^{3}

 {x}^{2} - 3 - 10 = 8

 {x}^{2} + 3x - 6x - 18 = 0

x times (x + 3) times (x - 6) = 0

X + 3 = 0

X – 6 = 0

x = - 3 \ x = 6, : : : : : x : : : : :e(5, + infty )

X = 6 (e)