Determine the result when the given expression is written as a sum and/or difference of logarithms. Express powers as factors.\\ ln\left(\frac{x^3y^3}{w^5z^2}\right)\\ 3\ln(x) + 3\ln(y) - 5\ln(w) + 2\ln(z)\\ 3\ln(x) + 3\ln(y) + 5\ln(w) + 2\ln(z)\\ \frac{3\ln(x) + 3\ln(y)}{5\ln(w) - 2\ln(z)}\\ 3\ln(x) + 3\ln(y) - 5\ln(w) - 2\ln(z)
Added by Aurora R.
Close
Step 1
ln(w^5 z^2) = ln(w^5) + ln(z^2) Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 55 other Algebra and Trigonometry educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Write the expression as the sum or difference of logarithms of $x, y,$ and $z$. Assume that all variables represent positive real numbers. $$\log _{6} \sqrt[4]{\frac{x y^{2}}{z^{3}}}$$
Exponential and Logarithmic Functions and Applications
The Irrational Number $e$ and Change of Base
Write the following expression as a multiple, sum, and/or difference of logarithms: $\log \sqrt{\frac{x y}{z}}$
LOGARITHMIC FUNCTIONS
Common Logarithms
Write each expression as a sum and lor difference of logarithms. Express powers as factors. $$\log _{2} z^{3}$$
Exponential and Logarithmic Functions
Properties of Logarithms
Recommended Textbooks
Introductory and Intermediate Algebra for College Students 4th
Prealgebra
Prealgebra and Introductory Algebra
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD