Which of the following restriction(s) apply to x in the logarithmic equation logbx = y (1 point) Responses x must be even x must be even x must be greater than b x must be greater than b x must be positive x must be positive x must be an integer

1 answer

In the logarithmic equation \( \log_b x = y \), the following restrictions apply to \( x \):

  1. \( x \) must be positive: The argument of a logarithm must be greater than zero; therefore, \( x > 0 \).
  2. \( x \) does not have to be even or an integer; it can be any positive real number as long as it meets the criteria.

So the correct response from your options is:

  • x must be positive.