Test: Logarithmic Functions - JEE MCQ

# Test: Logarithmic Functions - JEE MCQ

Test Description

## 5 Questions MCQ Test Physics for JEE Main & Advanced - Test: Logarithmic Functions

Test: Logarithmic Functions for JEE 2024 is part of Physics for JEE Main & Advanced preparation. The Test: Logarithmic Functions questions and answers have been prepared according to the JEE exam syllabus.The Test: Logarithmic Functions MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Logarithmic Functions below.
Solutions of Test: Logarithmic Functions questions in English are available as part of our Physics for JEE Main & Advanced for JEE & Test: Logarithmic Functions solutions in Hindi for Physics for JEE Main & Advanced course. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free. Attempt Test: Logarithmic Functions | 5 questions in 10 minutes | Mock test for JEE preparation | Free important questions MCQ to study Physics for JEE Main & Advanced for JEE Exam | Download free PDF with solutions
Test: Logarithmic Functions - Question 1

### If log27x = 1/6 , then x is equal to

Detailed Solution for Test: Logarithmic Functions - Question 1

Given:
log27x = 1/6

Concept used:
If Logex = z, then x = ez

Calculation:
log27x = 1/6
⇒ x = 271/6 = √3

Test: Logarithmic Functions - Question 2

### If N = m! Where m is any fixed positive integer greater than 2 then

Detailed Solution for Test: Logarithmic Functions - Question 2

 1 Crore+ students have signed up on EduRev. Have you?
Test: Logarithmic Functions - Question 3

### If log10 2 = 0.3010 and log10 3 = 0.4771. Find the value of log10 4.5 ?

Detailed Solution for Test: Logarithmic Functions - Question 3

log10 2 = 0.3010 and log10 3 = 0.4717
Now,
log10 4.5 = log10 (9/2)
= log10 9 - log10 2 (∵ log(m/n) = log m - log n)
= log10 32 - log10 2
= 2log10 3 - log10 2
= 2(0.4771) - 0.3010 = 0.6532

Test: Logarithmic Functions - Question 4

If  then the value of x is:

Detailed Solution for Test: Logarithmic Functions - Question 4

Formula used:

Calculation:

By using the above property
⇒ x2 - 4x + 5 = x -1
⇒ x2 - 5x + 6 = 0
⇒ x2 - 2x - 3x + 6 = 0
⇒ x(x - 2) - 3(x - 2) = 0
⇒ (x - 2)(x - 3) = 0
∴ x = 2 & 3

Test: Logarithmic Functions - Question 5

If log3 ⁡ (x4 − x3) − log3 ⁡ (x − 1) = 3 then x is equal to ?

Detailed Solution for Test: Logarithmic Functions - Question 5

Concept:
Logarithm properties:

Product rule: The log of a product equals the sum of two logs.
loga(mn) = logam + logan

Quotient rule: The log of a quotient equals the difference of two logs.

Power rule: In the log of power the exponent becomes a coefficient.

Formula of Logarithms:

Calculation:

## Physics for JEE Main & Advanced

289 videos|635 docs|179 tests
Information about Test: Logarithmic Functions Page
In this test you can find the Exam questions for Test: Logarithmic Functions solved & explained in the simplest way possible. Besides giving Questions and answers for Test: Logarithmic Functions, EduRev gives you an ample number of Online tests for practice

## Physics for JEE Main & Advanced

289 videos|635 docs|179 tests