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Solve for x if
Log(3x+1)+log(1/2)+log(2x+5)=0​

2 Answers

3 votes

Answer:

x=11

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

User Wtayyeb
by
5.3k points
1 vote

Answer:

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

User Silasjmatson
by
5.2k points