Use the Laws of Logarithms to combine the expression. $2 \log(x) - \frac{1}{5} \log(x^2 + 1) + 4 \log(x - 1)$
Added by Catalina W.
Close
Step 1
Step 1: Use the logarithm power rule, $a \log_b(x) = \log_b(x^a)$, to simplify the expression: $\log(x^2) - \log((x^2 + 1)^{\frac{1}{5}}) + \log((x - 1)^4)$ Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 97 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
Use the Laws of Logarithms to combine the expression. $$4 \log x-\frac{1}{3} \log \left(x^{2}+1\right)+2 \log (x-1)$$
Exponential and Logarithmic Functions
Laws of Logarithms
Gaurav K.
Use the Laws of Logarithms to combine the expression. $$ 4 \log x-\frac{1}{3} \log \left(x^{2}+1\right)+2 \log (x-1) $$
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD