Question

Which of the following is equal to log100−−−√3
?(1 point)

−23

−32

23

32

Answer 1

I’m not sure how to read the expression — it’s ambiguous as typed. Could you confirm the intended meaning? Some possibilities and their values:

- log_{100}(√3) = (1/2 ln 3)/(ln 100) = (ln 3)/(4 ln 10) (not one of the given simple fractions).
- log_{√3}(100) = ln 100 / ln(√3) = 4 ln 10 / ln 3 (≈ 8.385…, not one of the choices).
- log(100) − √3 (base 10) = 2 − √3 (≈ 0.268, not one of the choices).
- log_{100} 3 = ln 3 / ln 100 (≈ 0.239, not one of the choices).

None of those match −2/3, −3/2, 2/3, or 3/2, so I think the expression was mistyped. Please retype using parentheses and a subscript for the base, for example:

- log_{100}(√3)
- log_{√3}(100)
- log(100) − √3

Then I’ll evaluate and pick the correct choice.