SOLUTION: #1) log4(x) + log4(x-3) = 1 This is what I've tried: x(x-3) = 1 x^2 - 3x -1 = 0 ----> I can't factorise so do I need to complete the square to find x or is there an easier way o

Algebra.Com
Question 1095569: #1) log4(x) + log4(x-3) = 1
This is what I've tried:
x(x-3) = 1
x^2 - 3x -1 = 0 ----> I can't factorise so do I need to complete the square to find x or is there an easier way of doing it?
#2) log10(2x^2+3x+3) - log10(1-2x) = 1
I'm having the same factorising issue here.
Thankyou so much

Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Is the base of log, 4 ?







, and you can take the rest from here.
You want the logarithms of non-negative numbers.

RELATED QUESTIONS

I hope someone can clarify this. I'M CONFUSED!!! 2(log4 x + logx 4)=5 My working:... (answered by Alan3354)
Log4(x-1)+log4(3x-1)=2 (answered by MathLover1)
Solve the equation: log4 30-log4(x-1)-log4(x+2)=log4... (answered by lwsshak3)
log4 x-log4 (x+3)= -1 (answered by solver91311,Alan3354)
Solve for x: 2^(3x-1) = 4^(2x) I used logarithms to start this problem but I'm... (answered by josmiceli,MathTherapy)
log(3x-3)=log(x+1)+log4 Solve Do I re-write as log(3x-3)-log(x+1)=log4 to... (answered by Fombitz)
log4(x+2)-log4(x-1)=1 (answered by Theo)
log4 x^2-log4... (answered by josmiceli)
log4(x-3)+log4(x-4)=1/2 (answered by lwsshak3)