Write the log expression as a single log.
Table of contents
- 0. Functions7h 55m
- Introduction to Functions18m
- Piecewise Functions10m
- Properties of Functions9m
- Common Functions1h 8m
- Transformations5m
- Combining Functions27m
- Exponent rules32m
- Exponential Functions28m
- Logarithmic Functions24m
- Properties of Logarithms36m
- Exponential & Logarithmic Equations35m
- Introduction to Trigonometric Functions38m
- Graphs of Trigonometric Functions44m
- Trigonometric Identities47m
- Inverse Trigonometric Functions48m
- 1. Limits and Continuity2h 2m
- 2. Intro to Derivatives1h 33m
- 3. Techniques of Differentiation3h 18m
- 4. Applications of Derivatives2h 38m
- 5. Graphical Applications of Derivatives6h 2m
- 6. Derivatives of Inverse, Exponential, & Logarithmic Functions2h 37m
- 7. Antiderivatives & Indefinite Integrals1h 26m
- 8. Definite Integrals4h 44m
- 9. Graphical Applications of Integrals2h 27m
- 10. Physics Applications of Integrals 3h 16m
- 11. Integrals of Inverse, Exponential, & Logarithmic Functions2h 31m
- 12. Techniques of Integration7h 41m
- 13. Intro to Differential Equations2h 55m
- 14. Sequences & Series5h 36m
- 15. Power Series2h 19m
- 16. Parametric Equations & Polar Coordinates7h 58m
0. Functions
Properties of Logarithms
Multiple Choice
Evaluate the given logarithm using the change of base formula and a calculator. Use the common log.
log967
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Verified step by step guidance1
Identify the logarithm you need to evaluate: \( \log_{9} 67 \).
Use the change of base formula to rewrite the logarithm in terms of common logarithms (base 10): \( \log_{9} 67 = \frac{\log_{10} 67}{\log_{10} 9} \).
Calculate \( \log_{10} 67 \) using a calculator.
Calculate \( \log_{10} 9 \) using a calculator.
Divide the result of \( \log_{10} 67 \) by the result of \( \log_{10} 9 \) to find \( \log_{9} 67 \).
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