Practice Questions On Logarithms

Logarithm Assignment 1

Question 1

1.

Find x such that $(\cfrac{2}{5})^{\cfrac{6-5x}{2-5x}} \lt \cfrac{25}{4}$

Question 2

2.

Find x such that  $\cfrac{2^{x-1} -1 }{2^{x+1} + 1} \lt 2$

Question 3

3.

Find x such that  $log_3(1+log_3(2^x – 7)) = 1 $

Question 4

4.

Find x such that  $log_5(\cfrac{2+x}{10}) =log_5(\cfrac{2}{x+1})$

Question 5

5.

Find x such that  $log_2(4 \times 3^x – 6) – log_2(9^x – 6) = 1$

Question 6

6.

Find x such that  $log_2(25^{x+3} – 1) = 2 + log_2(5^{x+3} + 1)$

Question 7

7.

Find x such that  $3log_x 4 + 2log_{4x} 4 +3log_{16x} 4 =0$

Question 8

8.

Find x such that  $log_x(log_9(3^x-9)) \lt 1$

Question 9

9.

Find x such that  $\cfrac{log_2(4x^2-x-1)}{log_2(x^2 +1)}\gt 1$

Question 10

10.

Find x such that  $x^{(log_{10})^2-(log_{10}x^3 +1}\gt 1000$

Summary
Article Name
Logarithm function and properties.
Description
Practice on definition and properties of logarithms.
Author
Publisher Name
Mathsdiscussion.com