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Properties of logarithms: expanding, condensing, and change of base — Homework
Use the product, quotient, and power properties by name, and convert to natural log for change of base.
- 1.Expand: log(x^4*y/z^3).
- 2.Condense: 2*ln(x) + ln(y) - ln(z).
- 3.Use change of base to evaluate log_3(50) (round to 4 decimal places).
- 4.Expand: ln(y^3/sqrt(x)).
- 5.Explain why log_b(MN) is not the same as log_b(M)*log_b(N), even though multiplication happens inside the logarithm.
🌲 Homeschool of the FutureTwelfth Grade · Math · week 14 homework