Posted by **Armando** on Sunday, June 5, 2011 at 11:23pm.

Solve the following logarithm equation. Please show all of your work.

log (5 + x) – log(x – 2) = log 2

- Math - Logarithm -
**Reiny**, Sunday, June 5, 2011 at 11:30pm
log (5 + x) – log(x – 2) = log 2

log [(5+x)/(x-2)] = log 2

(5+x)/(x-2) = 2

2x - 4 = 5+x

x = 9

- Math - Logarithm -
**MathMate**, Sunday, June 5, 2011 at 11:32pm
Use law of logarithms,

log(a)-log(b)=log(a/b)

So

log (5 + x) – log(x – 2) = log 2

=log((5+x)/(x-2))=log2

Take anti-log on both sides

(5-x)/(x-2)=2

(5-x)=2(x-2)

Solve for x.

- Math - Logarithm -
**Bosnian**, Monday, June 6, 2011 at 12:43am
(5+x)/(x-2)=2

5+x=2*(x-2)

5+x=2x-4

5+4=2x-x

9=x

x=9

- Math - Logarithm -
**Anonymous**, Wednesday, July 18, 2012 at 12:54am
−6ln(x) − 8ln(y) +

1

8

ln(z)

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