SOLUTION: log9^-1 + xlog(3^(5x-7))^(1/3) = 0 Find the exact value of x. Thanks!
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Question 1026585: log9^-1 + xlog(3^(5x-7))^(1/3) = 0 Find the exact value of x. Thanks!
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
log9^-1 + xlog(3^(5x-7))^(1/3) = 0 Find the exact value of x. Thanks!
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-log(9) + x*log(3^[(5x-7)/3] = 0
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- log(9) = - log[3^(5x^2-7x)/3]
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3^[5x^2-7x)/3 = 3^2
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(5x^2-7x)/3 = 2
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5x^2 - 7x - 6 = 0
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5x^2 - 10x+3x -6 = 0
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5x(x-2)+3(x-2) = 0
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(x-2)(5x+3) = 0
x = 2 or x = -3/5
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Check for extraneous answers.
Cheers,
Stan H.
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