Question

log3(x+2)+log3(x+1)=2
exact solution...

Answer 1

you know the properties of logs? you can write the expression on the left side as 1 logarithm... can you do that?

Answer 2

I have it as log(3x+6)+log(3(x+1))-2

Answer 3

use this property: \(\large log_bM + log_bN=log_b(M\cdot N) \)

Answer 4

wait.. what is this the problem:
\(\large log3(x+2)+log3(x+1)=2 \) or \(\large log_3(x+2)+log_3(x+1)=2 \)

Answer 5

log3(x+2)+log3(x+1)=2

Answer 6

so this is log base 10 ???

Answer 7

yes

Answer 8

ok... the property still applies no matter what base we're talking.... can you write out the expression on the left as ONE logarithm (with base 10)???

Answer 9

I don't know how to do this problem, the answer I am getting is x=-3/2+1/6 =sqrt 409 I need exact solution and move decimel 3

Answer 10

how are you getting that answer (if you don't know how to do this problem?)

Answer 11

I have it set up as log(3x+6)+log(3(x+1))-2 am I not setting it up write? My answer don't seem right

Answer 12

since you said this is log base 10, then
\[\large log3(x+2)+log3(x+1)=log[3\cdot 3\cdot (x+2)\cdot (x+1)] \]
\[\large =log[9\cdot (x^2+3x+2)] \]
\[\large =log(9x^2+27x+18) \]
so now your equation looks like this: \(\large log(9x^2+27x+18)=2 \)

Answer 13

Ok, my answer is 100?