ddatsman1730
26.10.2020 •
Mathematics
Solve for x if
Log(3x+1)+log(1/2)+log(2x+5)=0
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Ответ:
log(3x+1)+log12−log(2x−5)=0 , solve for x∈R
log(3x+1)+log(2−1)−log(2x−5)=0
log(3x+1)−log2−log(2x−5)=0
log3x+12−log(2x−5)=0
log3x+122x−5=0
log(3x+12×12x−5)=0
log3x+14x−10=0
e0=3x+14x−10
4x−10=3x+1
x = 11
Ответ:
x=11
Step-by-step explanation:
log(3x+1)+log12−log(2x−5)=0 , solve for x∈R
log(3x+1)+log(2−1)−log(2x−5)=0
log(3x+1)−log2−log(2x−5)=0
log3x+12−log(2x−5)=0
log3x+122x−5=0
log(3x+12×12x−5)=0
log3x+14x−10=0
e0=3x+14x−10
4x−10=3x+1
x = 11
Ответ:
4
Step-by-step explanation: