# When you evaluate any log(base a) b where a > b, a does not equal 1, then: a) log(base a)b > 1 b) 0 < log(base a)b < 1 c) log(base a)b < 0 d) Cannot be determined

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Expert Answers

justaguide | Certified Educator

The value of `log_a b` has to be evaluated when a > b and a does not equal 1.

If `X = log_a b` , `b = X^a`

Maintaining a > b:

If a > 1 and b > 1, `log_a b` < 1

If a `!=` 1, b = 1, `log_a b` = 0

If a < 1 and b < 1, `log_a b` > 1

**The correct answer is option D. Given that a > b and a `!=` 1, it is not possible to determine the value of `log_a b` **