# Aptitude - Logarithm

## Why Aptitude Logarithm?

In this section you can learn and practice Aptitude Questions based on "Logarithm" and improve your skills in order to face the interview, competitive examination and various entrance test (CAT, GATE, GRE, MAT, Bank Exam, Railway Exam etc.) with full confidence.

## Where can I get Aptitude Logarithm questions and answers with explanation?

IndiaBIX provides you lots of fully solved Aptitude (Logarithm) questions and answers with Explanation. Solved examples with detailed answer description, explanation are given and it would be easy to understand. All students, freshers can download Aptitude Logarithm quiz questions with answers as PDF files and eBooks.

## Where can I get Aptitude Logarithm Interview Questions and Answers (objective type, multiple choice)?

Here you can find objective type Aptitude Logarithm questions and answers for interview and entrance examination. Multiple choice and true or false type questions are also provided.

## How to solve Aptitude Logarithm problems?

You can easily solve all kind of Aptitude questions based on Logarithm by practicing the objective type exercises given below, also get shortcut methods to solve Aptitude Logarithm problems.

### Exercise :: Logarithm - General Questions

1.

Which of the following statements is not correct?

 A. log10 10 = 1 B. log (2 + 3) = log (2 x 3) C. log10 1 = 0 D. log (1 + 2 + 3) = log 1 + log 2 + log 3

Explanation:

(a) Since loga a = 1, so log10 10 = 1.

(b) log (2 + 3) = log 5 and log (2 x 3) = log 6 = log 2 + log 3 log (2 + 3) log (2 x 3)

(c) Since loga 1 = 0, so log10 1 = 0.

(d) log (1 + 2 + 3) = log 6 = log (1 x 2 x 3) = log 1 + log 2 + log 3.

So, (b) is incorrect.

2.

If log 2 = 0.3010 and log 3 = 0.4771, the value of log5 512 is:

 A. 2.87 B. 2.967 C. 3.876 D. 3.912

Explanation:

log5 512
 = log 512 log 5
 = log 29 log (10/2)
 = 9 log 2 log 10 - log 2
 = (9 x 0.3010) 1 - 0.3010
 = 2.709 0.699
 = 2709 699
= 3.876

3.

 log 8 is equal to: log 8

A.
 1 8
B.
 1 4
C.
 1 2
D.
 1 8

Explanation:

 log 8 = log (8)1/2 = log 8 = 1 . log 8 log 8 log 8 2

4.

If log 27 = 1.431, then the value of log 9 is:

 A. 0.934 B. 0.945 C. 0.954 D. 0.958

Explanation:

log 27 = 1.431 log (33 ) = 1.431 3 log 3 = 1.431 log 3 = 0.477 log 9 = log(32 ) = 2 log 3 = (2 x 0.477) = 0.954.

5.

 If log a + log b = log (a + b), then: b a

 A. a + b = 1 B. a - b = 1 C. a = b D. a2 - b2 = 1

Explanation:

 log a + log b = log (a + b) b a log (a + b) = log a x b = log 1. b a

So, a + b = 1.