Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 6

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IMPORTANT

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$\frac{\log x + \log x^{4} + \log x^{9} + \dots + \log x^{n^{2}}}{\log x + \log x^{2} + \log x^{3} + \dots + \log x^{n}}$ is equal to

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Important Questions on Logarithm and its Applications

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NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 7

If

x^{18} = y^{21} = z^{28}

, then

3, 3 \log_{y} x, 3 \log_{z} y, 7 \log_{x} z

are in

EASY

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IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 8

If

\frac{1}{\log_{a} x} + \frac{1}{\log_{c} x} = \frac{2}{\log_{b} x}

, then

a, b

and

c

are in

EASY

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 9

If

(\log_{3} x) (\log_{x} 2 x) (\log_{2 x} y) = \log_{x} x^{2},

then what is the value of

y

?

EASY

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 10

What is the value of

\log_{y} x^{5} \log_{x} y^{2} \log_{z} z^{3}

?

EASY

NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 11

If

\log_{8} m + \log_{8} \frac{1}{6} = \frac{2}{3},

then

m

is equal to

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NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 12

What is the value of

\log_{7} \log_{7}

\sqrt{7 \sqrt{7 \sqrt{7}}}

equal to?

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NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 13

What is the value of

\log_{9} 27 + \log_{8} 32

?

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NDA & NA EE

IMPORTANT

Mathematics Crash Course NDA & NA EE>Chapter 3 - Logarithm and its Applications>Exercise 1>Q 14

If

(0.2)^{x} = 2

and

\log_{10} 2 = 0.3010,

then what is the value of

x

to the nearest tenth?