Question

3) which of the following restriction(s) apply to x in the logarithmic equation logbx = ylog𝑏⁡𝑥 = 𝑦(1 point)responsesx must be positivex must be positivex must be greater than bx must be greater than bx must be an integerx must be an integerx must be evenx must be evening

Answer 1

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

1. \( x \) must be positive: Logarithms are only defined for positive arguments.

Therefore, the correct response is:

- **x must be positive.**

The other restrictions mentioned (such as \( x \) being greater than \( b \), being an integer, or being even) are not generally true for all logarithmic equations. Thus, they do not apply in the context of the assumption given that \( \log_b x = y \).