SOLUTION: What is the exact solution of the equation log4 = 1+log(x+1)

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Question 1002254: What is the exact solution of the equation
log4 = 1+log(x+1)

Found 3 solutions by dkppathak, Alan3354, MathTherapy:
Answer by dkppathak(439) About Me  (Show Source):
You can put this solution on YOUR website!
What is the exact solution of the equation
log4 = 1+log(x+1)
solution
we know log10=1 substitute 1= log10
log4 = 1+log(x+1)
log4= log10 +log(x+1) by using law log m +logn =log (mn)
log 4= log[10(x+1)] by anti log
4=10(x+1)
4/10 = x+1
0.4 =x+1
x=0.4-1=-0.6

Answer by Alan3354(69443) About Me  (Show Source):
You can put this solution on YOUR website!
What is the exact solution of the equation
log4 = 1+log(x+1)
-----
log4 - 1 = log(x+1)
log(4) - log(10) = log(x+1)
log(4/10) = log(x+1)
x+1 = 0.4
x = -0.6

Answer by MathTherapy(10557) About Me  (Show Source):
You can put this solution on YOUR website!
What is the exact solution of the equation
log4 = 1+log(x+1)
log+%28%284%29%29+=+1+%2B+log+%28%28x+%2B+1%29%29
log+%28%284%29%29+-+log+%28%28x+%2B+1%29%29+=+1
log+%28%284%29%2F%28x+%2B+1%29%29+=+1
4%2F%28x+%2B+1%29+=+10%5E1
10(x + 1) = 4 ------- Cross-multiplying
10x + 10 = 4
10x = - 6
x = %28-+6%29%2F10, or highlight_green%28x+=+-+.6%29