Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 11

EASY

UPSC CDS

IMPORTANT

Earn 100

Solve the given logarithmic equation.

$\log 2^{10} +$ $\log 2^{5} -$ $\log 2^{25}$

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Important Questions on Exponentials and Logarithms

EASY

UPSC CDS

IMPORTANT

Mathematics Express>Chapter 4 - Exponentials and Logarithms>Exercise 1>Q 12

Solve the given logarithmic equation.

$2 \log \frac{8}{45} + 3 \log \frac{25}{8} - 4 \log \frac{5}{6}$

EASY

UPSC CDS

IMPORTANT

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

Solve the logarithmic equation for $x .$

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

EASY

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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

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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 :