Answered

Expand your horizons with the diverse and informative answers found on IDNLearn.com. Get step-by-step guidance for all your technical questions from our knowledgeable community members.

Question 7 of 10Use the properties of logarithms to expand the following expression.(√log(x+4)5x³Your answer should not have radicals or exponents.You may assume that all variables are positive.

Question 7 Of 10Use The Properties Of Logarithms To Expand The Following Expressionlogx45xYour Answer Should Not Have Radicals Or ExponentsYou May Assume That A class=

Sagot :

We have:

[tex]\begin{gathered} log(\sqrt{\frac{(x+4)^5}{x^3}}) \\ =log(\frac{(x+4)^2\sqrt{x+4}}{x\sqrt{x}} \end{gathered}[/tex]

Applying properties of logarithms:

[tex]\begin{gathered} =log((x+4)^2\sqrt{x+4})-log(x\sqrt{x}) \\ =2log(x+4)+log(\sqrt{x+4})-logx-log\sqrt{x} \end{gathered}[/tex]

We greatly appreciate every question and answer you provide. Keep engaging and finding the best solutions. This community is the perfect place to learn and grow together. Thank you for choosing IDNLearn.com. We’re dedicated to providing clear answers, so visit us again for more solutions.