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When you evaluate any log(base a) b  where a > b, a does not equal 1, then: a)...

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kristenmarieb... | Student, Grade 10 | (Level 1) Valedictorian

Posted August 17, 2013 at 5:11 AM via web

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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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justaguide | College Teacher | (Level 2) Distinguished Educator

Posted August 17, 2013 at 6:58 AM (Answer #2)

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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`

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