Question

100 points

How can the logarithmic expression be rewritten?

Select True or False for each statement.

Answer 1

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