SOLUTION: Can anyone help? Question: prove that the value of x that satisfies 2log2x + log2(x-1) = 1+log2(35x + 100) is a solution of the equation x^3 - x^2 - 70x - 200 = 0

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Question 1074217: Can anyone help?
Question: prove that the value of x that satisfies 2log2x + log2(x-1) = 1+log2(35x + 100) is a solution of the equation x^3 - x^2 - 70x - 200 = 0
Answer by Edwin McCravy(20064)   (Show Source): You can put this solution on YOUR website!



Use the rule of logarithms on the first term that allows
a coefficient of a logarithm to be moved to the exponent
of the expression which the logarithm is of.



Since log2(2) = 1 we can replace the 1 on the
right by that:



Use the rule of logarithms that allows a sum of logarithms
to be written as the logarithm of the product of the 
expressions which the logarithms are of.



Use the rule of logarithms  that if , then A=C







Edwin
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