SOLUTION: Use properties of logarithms to rewrite each expression as the sum, difference, or product of logarithms and simplify if possible.
a.) log(1/x+4^3)
b.) ln cbrt(4x-2)
Rewrite e
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Question 1042172: Use properties of logarithms to rewrite each expression as the sum, difference, or product of logarithms and simplify if possible.
a.) log(1/x+4^3)
b.) ln cbrt(4x-2)
Rewrite each of these expressions as a single logarithm.
a.) 2ln x-3ln y
b.) 3(ln x+ln y)- 1/2 ln z
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
a) is ambiguous. There are at least 3 ways that I can interpret the log argument. Repost using sufficient parentheses so that it is clear which parts of the expression are in the denominator.
b) Use 
to write
\ =\ \ln\left(4x\,-\,2\right)^{\frac{1}{3}}\ =\ \frac{1}{3}\ln\left(4x\,-\,2\right))
John
My calculator said it, I believe it, that settles it
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