Question

Use the Laws of logarithms to rewrite the expression $\log\left(\frac{x^{10}y^{19}}{z^4}\right)$ in a form with no logarithm of a product, quotient or power. After rewriting we have $\log\left(\frac{x^{10}y^{19}}{z^4}\right) = A\log(x) + B\log(y) + C\log(z)$ with A = B = and C =

          Use the Laws of logarithms to rewrite the expression
$\log\left(\frac{x^{10}y^{19}}{z^4}\right)$
in a form with no logarithm of a product, quotient or power.
After rewriting we have
$\log\left(\frac{x^{10}y^{19}}{z^4}\right) = A\log(x) + B\log(y) + C\log(z)$
with
A = 
B = 
and
C =
        
Show more…
Use the Laws of logarithms to rewrite the expression
log((x^10y^19)/(z^4))
in a form with no logarithm of a product, quotient or power.
After rewriting we have
log((x^10y^19)/(z^4)) = Alog(x) + Blog(y) + Clog(z)
with
A = 
B = 
and
C =

Added by John H.

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Precalculus with Limits
Precalculus with Limits
Ron Larson 2nd Edition
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Use the Laws of logarithms to rewrite the expression log((x^(10)y^(19))/(z^(4))) in a form with no logarithm of a product, quotient or power. After rewriting we have log((x^(10)y^(19))/(z^(4))) = Alog(x) + Blog(y) + Clog(z) with A = B = and C = Use the Laws of logarithms to rewrite the expression 1019 log in a form with no logarithm of a product, quotient or power. After rewriting we have x10y19 log A log + Blogy + Clogz z4 with A = B = and C
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Transcript

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00:01 Use the laws of logarithms to combine the expression into a single logarithm.
00:05 We have log of a plus 2 log of b.
00:11 Into a single logarithm, well first we'd want to apply the power rule to the second term...
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