Question

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. (If there is no solution, enter NO SOLUTION.)
log2 x + log2(x − 3) = 2

Answer 1

did you attempt

Answer 2

Yes, but it only confused me. I'm not entirely sure how to start solving the equation.

Answer 3

I tried taking the log2 of both sides to try and get rid of the log2 on the left side of the equation...

Answer 4

use LogAB=LOG A+LOG B

Answer 5

Where A=2X AND B= 2(X-3)

Answer 6

try it out, and let me know how it goes before I give you the solution

Answer 7

2x^2 - 6 = 2

Answer 8

2x^2 = 8

x^2 = 4

x = 2 or x= -2

Answer 9

I tried 2, though and it isn't the right answer. Am I even somewhat close?

Answer 10

nope, it should be 2x*(2x-6)

Answer 11

assuming it is log to base 2 and NOT LOG to base 10 we have
4x^2-12x=2^2
4x^2-12x-4=0

Answer 12

if it is log to base 10 WHICH I THINK IS MORE APPROPRIATE, it should be
4x^2-12x=10^2
4x^2-12x-100=0
which can be reduced to
3x^2-3x-25=0

Answer 13

You have to raise 2 to the second power on the right side?

Answer 14

yes ONLY IF IT IS LOG TO BASE 2, AND IF IT IS LOG TO BASE 10 we have 10^2

Answer 15

Still doesn't make too much sense. :/

Answer 16

well you need to solve the equation , i leave that to you, try to factorize, or use quadratic formula if applicable