rozwiąż równanie
1/2log(6x+25)-log(x+3)=0
log(6x + 25)^1/2 - log (x + 3) = log 10^0
log [ (6x + 25)^1/2 / (x +3) = log 1
(6x + 25)^1/2 / (x + 3) = 1
(6x + 25)^1/2 = (x + 3) * 1
(6x + 25)^1/2 = (x + 3) ------ / ^2
6x + 25 = (x + 3)^2
6x + 25 = x^2 + 6x + 9
x^2 + 9 - 25 = 0
x^2 - 16 = 0
(x - 4)(x + 4) = 0
x = 4 lub x = -4
załącznik.
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1/2log(6x+25)-log(x+3)=0
log(6x + 25)^1/2 - log (x + 3) = log 10^0
log [ (6x + 25)^1/2 / (x +3) = log 1
(6x + 25)^1/2 / (x + 3) = 1
(6x + 25)^1/2 = (x + 3) * 1
(6x + 25)^1/2 = (x + 3) ------ / ^2
6x + 25 = (x + 3)^2
6x + 25 = x^2 + 6x + 9
x^2 + 9 - 25 = 0
x^2 - 16 = 0
(x - 4)(x + 4) = 0
x = 4 lub x = -4
załącznik.