Oblicz
logx - log(4x-7) = log3
D: x > 0 i 4x - 7 > 0
4x > 7
x > 7/4
x > 1 i 3/4
D = ( 1 i 3/4, + oo)
log [ x / (4x - 7) ] = log3
x / (4x - 7) = 3
x / (4x - 7) = 3/1
3(4x - 7) = 1 * x
12x - 21 = x
12x - x = 21
11x = 21
x = 21/11
x = 1 i 10/11 ∈ D
odp. x = 1 i 10/11
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D: x > 0 i 4x - 7 > 0
4x > 7
x > 7/4
x > 1 i 3/4
D = ( 1 i 3/4, + oo)
logx - log(4x-7) = log3
log [ x / (4x - 7) ] = log3
x / (4x - 7) = 3
x / (4x - 7) = 3/1
3(4x - 7) = 1 * x
12x - 21 = x
12x - x = 21
11x = 21
x = 21/11
x = 1 i 10/11 ∈ D
odp. x = 1 i 10/11
----------------------------------------------------------------------------------------------------
Litterarum radices amarae sunt, fructus iucundiores
Pozdrawiam :)