Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 13

EASY

UPSC CDS

IMPORTANT

Earn 100

Solve the logarithmic equation for $x .$

$\log_{2} (x - 2) + \log_{2} (x + 1) = 3 .$

100% studentsanswered this correctly

Important Questions on Exponentials and Logarithms

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 14

Find the value of

\log_{a} (\sqrt[m]{a}) + \log_{b} (\sqrt[n]{b})

?

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 15

Find the value of

\log_{16} (4) - \log_{16} (\frac{1}{4})

_____.

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 16

What is the value of ?

$\frac{1}{\log_{0.2} a} + \frac{1}{\log_{0.2} a} + \frac{1}{\log_{25} a} = ?$

HARD

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 17

Find the value of

\log_{3} \tan 60 ° \sin 90 ° :

HARD

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 18

Find the value of

\log_{9} 27 \times (\log_{3} 81 - \log_{3} 9) :

HARD

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 19

Find the value of

x,

given

\log_{x} 126 - \log_{x} 42 = 1 :

HARD

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 20

Find the value of

\log_{10} 18 + \frac{1}{2} \log_{10} 25 + 2 \log_{10} \frac{1}{3} :

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 21

Find the value of question mark in

10^{7.5} \times 5^{2.5} \times 2^{2.5} = 10^{?}

.