Rewrite the expression as a single logarithm: log 2 + log x - (log 3 + log y)
Added by Elizabeth E.
Step 1
First, we can combine the two logs with addition: log 2 + log x = log (2x) Similarly, we can combine the two logs in the parentheses with addition: log 3 + log y = log (3y) Now we can substitute these expressions back into the original equation: log 2x - log 3y Show more…
Show all steps
Close
Your feedback will help us improve your experience
Manuel Vasquez and 54 other Algebra 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
Express as a single logarithm: log (x + 2) + log 1 - 3 log y
Gaurav G.
Rewrite the expression as a single log. $$ \log _{3} x+\log _{3} y $$
Exponential and Logarithmic Functions
Logarithmic Functions
Express as an equivalent expression that is a single logarithm and, if possible, simplify. $$\log _{a}(2 x)+3\left(\log _{a} x-\log _{a} y\right)$$
Exponential Functions and Logarithmic Functions
Properties of Logarithmic Functions
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Watch the video solution with this free unlock.
EMAIL
PASSWORD