SOLUTION: log(x-4) = -2 + log(x+3)

Question 827710: log(x-4) = -2 + log(x+3)
Found 2 solutions by jsmallt9, LinnW:
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
What are you/we supposed to do with this???
Answer by LinnW(1048) (Show Source): You can put this solution on YOUR website!

log(1/100) = -2 since ==
so =
This solution assumes that log means log base 10.

so x-4 = (1/100)*(x+3)
multiply each side by 100
100(x-4) = x+3
100x - 400 = x + 3
add 400 to each side
100x = x + 403
subtract x from each side
99x = 403
x = 403/99
Let's see if it works
log((x-4)) = -2 + log((x+3))
add 2 - log((x+3)) to each side
log((x-4)) - log((x+3)) = -2
rewriting the the left hand side and plugging into excel we can
verify that
log10(403/99 - 4) - log10( 403/99 + 3) = -2
RELATED QUESTIONS
log(x + 4) + log(x + 3) = log... (answered by dabanfield)
log (2+x)-log (x-4)=log 3 (answered by nerdybill)
log(X+3)-log X=log... (answered by Fombitz)
Log x - log 4=... (answered by jsmallt9)
{{{ (Log( x, x^4 ) - Log( 3, 27 )) / (Log( .01 ) + Log( 4, 2 )) }}} Solve for... (answered by stanbon)
Log(4)(x+3)=-2 (answered by lwsshak3)
{{{ log ( 3, ( x- 2) ) + log (3, ( x- 4) ) = 2... (answered by nerdybill,cordereal)
Solve for x Log x 4 + log x 2 =... (answered by stanbon)
This is my problem in logarithm log x + log x^2 + log x^3 + log x^4 = 1 + log 0.2 +... (answered by jsmallt9)