<PRE><B>Question 167685</B>
Use the properties of to write the following as single logarithms 
A) log100-1/3logy+1/2logz 

log[100*z^2/y^(1/3)

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B)-3/2logu-logs+3logr+logt

= log[rt/[u^(3/2)*s]]
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use the properties of logarithms to solve exactly the following equations 
A) logx(27)=3 
x^3 = 27
x = 3
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B) log(x+2)-log(x-1)=log(4)

log[(x+2)/(x-1)] = log(4)

x^2+x-2 = 4

x^2 + x -6 = 0
(x+3)(x-2) = 0
Positive solution:
x = 2
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Cheers,
Stan H.


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