How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 24

MEDIUM

CAT

IMPORTANT

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Find $x$ if $\log (x - 13) + 3 \log 2 = \log (3 x + 1)$ .

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Important Questions on Logarithms

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 25

\log (2 x - 2) - \log (11.66 - x) = 1 + \log 3

. Solve for

x

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 1

Express

\log \frac{\sqrt[3]{a^{2}}}{b^{5} \sqrt{c}}

or

\frac{a^{\frac{2}{3}}}{b^{5} \sqrt{c}}

in terms of

\log a, \log b

and

\log c

.

HARD

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 2

If

\log 3 = . 4771

, find

\log {(. 81)}^{2} \times \log {(\frac{27}{10})}^{\frac{2}{3}} \div \log 9

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 3

If

\log 2 = . 301

,

\log 3 = . 477

, find the number of digits in

{(108)}^{10}

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 4

If

\log 2 = . 301

, find the number of digits in

{(125)}^{25}

.

MEDIUM

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 5

Which of the following option represents the value of

\log_{0.625} \sqrt{128}

?

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 6

Solve for $x$ :

$\log \frac{75}{35} + 2 \log \frac{7}{5} - \log \frac{105}{x} - \log \frac{13}{25} = 0$

EASY

CAT

IMPORTANT

How to prepare for Quantitative Aptitude for the CAT>Chapter 23 - Logarithms>Level of Difficulty>Q 7

2 \log \frac{4}{3} - \log \frac{x}{10} + \log \frac{63}{160} = 0