You can put this solution on YOUR website! log2x + log(x+1) = log(log1000)
log(2x(x + 1)) = log(3)
log(2x^2 + 2x) - log(3) = 0
log((2x^2 + 2x)/3)) = 0
(2x^2 + 2x)/3 = 1
2x^2 + 2x = 3
x^2 + x = 3/2 At this point, you can choose your own way of solving.
(x + 1/2)^2 = 6/4 + 1/4 = 7/4
x + 1/2 = +- sqrt(7)/2
x = (-1 +- sqrt(7))/2
You can not take the log of a negative number: x = (-1 + sqrt(7))/2
Answer: about 0.8228 (I don't believe in rounding for other mathematical purposes.)
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log(7) - log(4x + 5) + log(2x - 3) = 0
log(7(2x - 3)/(4x + 5)) = 0
(14x - 21)/(4x + 5) = 1
14x - 21 = 4x + 5
10x = 26
x = 2.6
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log(x^5) = (log(x))^5
5*log(x) = (log(x))^5
5 = log(x)^4
5^(1/4) = log(x)
10^(5^(1/4)) = x
and x = 1 because each side is an equivalent (neither is adding or subtracting)
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3^92x+1)=4^(3-x)
I do not know where the parenthesis ends. All you do is log each side and discover an answer that is relatively close.
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