SOLUTION: how to express as a logarithm of a single number: 1. 7 log base2 x- 1/3 log base2 y 2. 3 log baseb x + 2 log base b y - 1/2 log base b z

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: how to express as a logarithm of a single number: 1. 7 log base2 x- 1/3 log base2 y 2. 3 log baseb x + 2 log base b y - 1/2 log base b z       Log On


   

Question 919901: how to express as a logarithm of a single number:
1. 7 log base2 x- 1/3 log base2 y
2. 3 log baseb x + 2 log base b y - 1/2 log base b z
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
express as a logarithm of a single number:
1. 7 log base2 x- 1/3 log base2 y
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log2(x^7)- log2(y^(1/3))
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= log2[x^7/y^(1/3)]
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2. 3 log baseb x + 2 log base b y - 1/2 log base b z
logb(x^3) + logb(y^2) - logb(z^(1/2))
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= logb[(x^3*y^2/z^(1/2)]
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Cheers,
Stan H.
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