Using the Change-of-Base Formula for Logarithms Use the change-of-base formula to evaluate each expression as a quotient of logarithms. (Use a calculator to approximate each to three decimal places.) a. $log_4(25) =$ b. $log_8(59) =$ c. $log_9(8.32) =$ d. $log_5(\frac{29}{2}) =$ e. $log_{1/6}(4.1) = $
Added by Kristin J.
Close
Step 1
The formula states that for any positive number a, b, and c, we have: log base a of b = log base c of b / log base c of a Show more…
Show all steps
Your feedback will help us improve your experience
Amy Jiang and 91 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
Given that $\log _{10} 4 \approx 0.6021, \log _{10} 7 \approx 0.8451,$ and $\log _{10} 9 \approx 0.9542,$ use these values and the properties of logarithms to approximate each value. Do not use a calculator. $\log _{10} 252$
Exponential and Logarithmic Functions
Properties of Logarithms
Given that $\log _{10} 4 \approx 0.6021, \log _{10} 7 \approx 0.8451,$ and $\log _{10} 9 \approx 0.9542,$ use these values and the properties of logarithms to approximate each value. Do not use a calculator. $\log _{10} 28$
Use logarithms to the base 10 to find the indicated logarithms. $\log _{100} 3720$
Natural Logarithms
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD