SOLUTION: Solve the equation 3^(5x+2) = 27/ sqrt 3
The real problem I'm having here is understanding how to simplify the fraction with the square root, apparently I can turn 27/ sqrt 3 in
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Question 987028: Solve the equation 3^(5x+2) = 27/ sqrt 3
The real problem I'm having here is understanding how to simplify the fraction with the square root, apparently I can turn 27/ sqrt 3 into 9* sqrt3 somehow, but I don't really understand.
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Solve the equation
3^(5x+2) = 27/ sqrt(3)
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3^(5x+2) = 3^3/3^(1/2)
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3^(5x+2) = 3^(3-(1/2))
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3^(5x+2) = 3^(5/2)
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5x+2 = 5/2
5x = 1/2
x = 1/10
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
The process is called "Rationalizing the Denominator"
\left(\frac{\sqrt{3}}{\sqrt{3}}\right))
You can do this because anything divided by itself is one and anything multiplied by one is unchanged.
\left(\frac{\sqrt{3}}{\sqrt{3}}\right)\ =\ \frac{27\sqrt{3}}{3}\ =\ 9\sqrt{3})
John
My calculator said it, I believe it, that settles it
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