Question

For y = ${\log }_{a}x$ to be defined a and x must be _____.

• A. Any positive real number for both a and x
• B. Any number for both a and x
• C. a≥ e and x > 0
• D. a is any positive real number but not equal to 1 and x > 0

Answer 1

The correct option is D

a is any positive real number but not equal to 1 and x > 0

By definition of logarithm

For y= ${\log }_{a}x$ is defined only when a is a positive real number but NOT equal to 1.

x must be greater than zero.

X >0, a>0 and a ≠ 1