Question

What values of x satisfies log2(3x) + log2(2x) = 3?

Answer 1

log a + log b = log (a*b)

so in this case

log (3x) + log (2x) = log (6x^2) = 3

Answer 2

How do I deal with the log base 2

Answer 3

base of log is irrelevent:

logn (x) = m means n^m = x

Answer 4

Ahhhhhh I got it

Answer 5

Okay, similar to @MrNood
\[\log_{2} (3x)+\log_{2} (2x)=3\]
Using the identity: loga+logb=log(a*b)
\[\log_{2} (6x^2)=3\]

Answer 6

good job then. :)

Answer 7

I just forgot all the identities, that's all

Answer 8

log2(6x^2) = 3
2^3 = 6x^2
4/3 = x^2

Answer 9

Mmm I see, thanks

Answer 10

yep, do you know how to simplify ur answer?

Answer 11

unless that answer format is accepted

Answer 12

Yea x = (4/3)^(1/2)