Question

find the exact solution log (x)+log (2x-1)=log 3 there all log little 3

Answer 1

The base is same accros them so we can multiply the values:

So:
x(2x-1) = 3
2x^2-x =3
2x^2 - x - 3 = 0

Now calculate the x.

Answer 2

(2x-3) (x+1)

Answer 3

answers would be 3/2 and -1

Answer 4

So x will be -1 and 3/2. remember that -1 is not acceptable because log of a negative number is undefined. So the only acceptable answer is 3/2

Answer 5

thanks again cortez

Answer 6

you're welcome, dont forget to mark as an answer if it helped you ;)