SOLUTION: 3^(x^2+x)=9 And if log base 3 (2) =a log base 3 (5) =b write log base 3 (8/25) in terms of a and b

Question 600479: 3^(x^2+x)=9
And if log base 3 (2) =a log base 3 (5) =b write log base 3 (8/25) in terms of a and b
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
3^(x^2+x)=9
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3^(x^2+x) = 3^2
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x^2+x = 2
x^2+x-2 = 0
(x+2)(x-1) = 0
x = -2 or x = 1
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And if log base 3 (2) =a log base 3 (5) =b write log base 3 (8/25) in terms of a and b
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log3(8/25) = log3(8) - log3(25)
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= 3log3(2) - 2log3(5)
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= 3a - 2b
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cheers,
Stan H.

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