SOLUTION: Write as a single logarithm and simplify: a) logbase2 48 - logbase2 3 b) 1/2logbase9 36 - logbase9 2

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equation Customizable Word Problems -> SOLUTION: Write as a single logarithm and simplify: a) logbase2 48 - logbase2 3 b) 1/2logbase9 36 - logbase9 2       Log On


   

Question 126054: Write as a single logarithm and simplify:
a) logbase2 48 - logbase2 3
b) 1/2logbase9 36 - logbase9 2
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Write as a single logarithm and simplify:
a) logbase2 48 - logbase2 3
= log(base 2)(48/3)
= log(base 2)(16)
= 4
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b) (1/2)logbase9 36 - log(base9) 2
= log(base 9)6 - log(base 9) 2
= log(base 9)(3)
= 1/2
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Cheers,
Stan H.