Question

Condense the expression to a single logarithm using the properties of logarithms. $\log(x) - \frac{1}{2}\log(y) + 4\log(z)$

          Condense the expression to a single logarithm using the properties of logarithms.
$\log(x) - \frac{1}{2}\log(y) + 4\log(z)$
        
Condense the expression to a single logarithm using the properties of logarithms.
log(x) - (1)/(2)log(y) + 4log(z)

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Elementary and Intermediate Algebra
Elementary and Intermediate Algebra
Alan S. Tussy, R. David Gustafson 5th Edition
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Condense the expression to a single logarithm using the properties of logarithms. log(x)-(1)/(2)log(y)+4log(z) Condense the expression to a single logarithm using the properties of logarithms log(x) =1log(y)+41og(z)
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Transcript

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00:01 There's not much to do in this problem.
00:02 There's just one theme, and maybe i'll even talk about one more, but if you have log base b of something, plus the same base, log, base b of another something, you can combine them together as the same log using multiplication, so m times m.
00:21 So if you look at this problem where they give you natural log, so that's a base of e, that's not even a big deal, plus natural log of 7.
00:34 So what the big deal is is that they have the same base, and both bases are e.
00:39 Well, you can combine them together as just natural log, so log base e of x times 7...
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