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Logarithms Practice Test 1

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Question : 21 of 40

Marks: +1, -0

Which one among the following has a stronger base?

$\log_{0.3} 2$
$\log_{0.01} 2$
$\log_{0.1} 2$
$\log_{2.0} 2$
None of these

Solution: 👈: Video Solution

Concept:

A logarithmic base

b

must satisfy

b>0

and

b\neq1

; if

b>1

, it is called a strong base.

Explanation:

Check the base in each option:

Option A: base

=0.3<1

.

Option B: base

=0.01<1

.

Option C: base

=0.1<1

.

Option D: base

=2.0>1

.

Only base

2.0

is greater than

1

.

So

\log_{2.0}2

has the stronger base.

Answer:

D.

\log_{2.0}2

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