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Asked Sep 24, 2019
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS
Writing an expression as a single logarithm
Write the expression as a single logarithm.
6 logs (x-3)-4log5 (x+4)
logn
?
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EXPONENTIAL AND LOGARITHMIC FUNCTIONS Writing an expression as a single logarithm Write the expression as a single logarithm. 6 logs (x-3)-4log5 (x+4) logn ?

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Expert Answer

Step 1

To express the given quantity as the logarithm of a single expression

Step 2

Recall the basic facts regarding logarithms. All logs are to the same base (say 5 ,as in this problem)

mlogx-log x"
logl
log p -log q
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mlogx-log x" logl log p -log q

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Step 3
mlogx=logx
So,6 log(x-3)log (r-3)
4log (x+4) log (x+4)
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mlogx=logx So,6 log(x-3)log (r-3) 4log (x+4) log (x+4)

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