SOLUTION: log x + log 4 =1 please help with this log x - log 9 =3 (1/2)^3x =8^2

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: log x + log 4 =1 please help with this log x - log 9 =3 (1/2)^3x =8^2      Log On


   

Question 734781: log x + log 4 =1 please help with this
log x - log 9 =3
(1/2)^3x =8^2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
log x + log 4 =1
log(4x) = 1
4x = 10^1
4x = 10
x = 5/2
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log x - log 9 =3
log(x/9) = 3
x/9 = 10^3
x/9 = 1000
x = 9000
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(1/2)^3x =8^2
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(2^-1)^(3x) = (2^3)^2
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2^(-3x) = 2^(6)
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-3x = 6
x = -2
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Cheers,
Stan H.
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