Question

100 points
How can the logarithmic expression be rewritten?

Select True or False for each statement.

Answer 1

Answer:

Use properties of log:

• log ab = log a + log b
• log a/b = log a - log b
• a log b = log $b^a$

Statements:

log₃ (vw/x) = log₃ vw - log₃ x = log₃ v + log₃ w - log₃ x

• True

log₄ n + 3 log₄ m = log₄ n + log₄ m³= log₄ (nm³)

• True

1/3(log₂ c + log₂ d) - 4 log₂ e = log₂ c$^{1/3}$ + log₂ d$^{1/3}$  - log₂ e⁴= log₂ (c$^{1/3}$ d$^{1/3}$ /e⁴)

• False