Question

Solve for x in terms of a.
log3(x + a) − log3(x − a) = 1

Answer 1

compress:
log((x+a/(x-a))=1
then write in exponential form

10=(x+a)/(x-a)

Answer 2

cross multiply:
10x-10a=x+a
9x=11a
x=11a/9

Answer 3

is it \[\log_{3}(x+a) \]?

Answer 4

according to tku's problem the logarithm has a base of 3

Answer 5

i thought it was a coefficient, not a base. i wasn't sure because of how he wrote it.

Answer 6

it s base

Answer 7

ok so then:

3=(x+a)/(x-a)

3x-3a=x+a
2x=4a
x=2a