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Logarithms Practice Test 2

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Question : 17 of 39

Marks: +1, -0

Which one among the following has a weak base?

$\log_{0.3} 2$
$\log_{2} 2$
$\log_{2.01} 2$
$\log_{1.7} 2$
None of these

Solution:

Concept:

A logarithm with base less than

1

is called a weak base.

Explanation:

Check the base of each option.

The base of

\log_{0.3} 2

is

0.3

, and

0.3 < 1

.

So it is a weak base.

The bases

2

,

2.01

, and

1.7

are all greater than

1

.

Hence they are not weak bases.

Answer:

Option A:

\log_{0.3} 2

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