Question

${\log }_{a}x$ is defined for $(a>0)$

• A. all $x$
• B. all negative real $x$not equal to $1$
• C. all positive real $x$ not equal to $0$
• D. none of these

Answer 1

The correct option is C

all positive real $x$ not equal to $0$

Explanation for the correct option:

Finding the value of ${\log }_{a}x$ for $(a>0)$:

For all the positive values of $a$, ${\log }_{a}x$gives a positive and real value.

${\log }_{a}x$ is defined as all positive real $x$ not equal to $0$ ,since no number can have the value $0$ when it's raised to any power.

Therefore, the correct answer is option (C).