Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3

Embibe Experts Solutions for Chapter: Logarithm and its Applications, Exercise 3: Exercise-3

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Attempt the free practice questions on Chapter 3: Logarithm and its Applications, Exercise 3: Exercise-3 with hints and solutions to strengthen your understanding. Alpha Question Bank for Engineering: Mathematics solutions are prepared by Experienced Embibe Experts.

Questions from Embibe Experts Solutions for Chapter: Logarithm and its Applications, Exercise 3: Exercise-3 with Hints & Solutions

MEDIUM

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3>Q 1

The number of solution(s) of $\log_{4} (x - 1) = \log_{2} (x - 3)$ is/are

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3>Q 2

Let $(x_{0}, y_{0})$ be the solution of the following equations:

${(2 x)}^{\ln (2)} = {(3 y)}^{\ln (3)}$

$3^{\ln (x)} = 2^{\ln (y)}$

Then $x_{0}$ is

HARD

JEE Main/Advance

IMPORTANT

Alpha Question Bank for Engineering: Mathematics>Chapter 3 - Logarithm and its Applications>Exercise-3>Q 4

If $3^{x} = 4^{x - 1}$ then $x =$