Question

Solve equation
log(2x + 1) = 1 + log (x-2)

Answer 1

the first step I would take is to subtract log(x-2) from both sides

Answer 2

then you can use, log(a) - log(b) = log(a/b)

Answer 3

use the property $$log_{e}(a) = b$$ you can rewrite as $$e^{b} = a$$ this property works for any base, just replace e with the base

Answer 4

@sabmar28 can you take it from there?

Answer 5

good name @sabmar28

Answer 6

THANKS

Answer 7

@sabmar28 if you need help @mention me or msg me

Answer 8

(2x+1)/(x-2)=10

Answer 9

ok that looks good, so now what would you do?

Answer 10

log(x) can be base 10 or base e, kinda confusing, sorry

Answer 11

http://www.purplemath.com/modules/logs3.htm

see the warning here

Answer 12

can apparently be base-2 also? lol

Answer 13

anyways what would be the next step?

Answer 14

THE ANSWER IS 21/8