If log_{3}x = 2. then x Is equal to

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$$\text{If } log_{3}x = 2. \text{ then x is equal to:}$$

A-9

B-6

C-8

D$$\frac{1}{9}$$

Nithin K ? Apr 21 '2018 at 21:6

Correct Answer: D [\(\frac{1}{9}\)]

Explanation:

\(\text{log}_{3}x =-2\)

\(x = 3^{-2}\)

\(x=\frac{1}{9}\)

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4+4 18 - 6 -8

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$$\frac{4+4 \times 18 - 6 -8}{123 \times 6 - 146 \times 5} =?$$

A1

B2

C6.65

D7.75

Nithin K ? Apr 21 '2018 at 20:35

Correct Answer: D [7.75]

Explanation:

Using  the BODMAS Rule:

\(\frac{4+4\times18-6-8}{123\times6-146\times5}\)

\(= \frac{4+72-6-8}{2(123\times3-73 \times5)}\)

\(=\frac{76-14}{2(369-365)}\)

\(=\frac{62}{2 \times 4}\)

\(=\frac{31}{4}\)

\(=7.75\)

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The logarithm of 0.0625 to the 2 is

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The logarithm of 0.0625 to the 2 is

A-4

B-2

C0.25

D0.5

Nithin K ? Apr 21 '2018 at 18:16

Correct Answer: A [-4]

Explanation:

\(log_{2}0.0625=log_{2}\Big(\frac{625}{10000}\Big)\)

\(=log_{2}\Big(\frac{1}{16}\Big)\)

\( =log_{2}{1} - log_{2}16\)

\(=-log_{2}16\)

\(= - \text{ log}_{2}2^4\)

\(=-4\text{ log}_{2}2\)

=-4

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180 15 12 20

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$$\frac{180 \times 15- 12 \times 20}{ 140 \times 8 + 2 \times 55} = ?$$

A\frac{1}{7}

B\frac{4}{5}

C2

D4

Nithin K ? Apr 21 '2018 at 17:46

Correct Answer: C [2]

Explanation:

\(\frac{180 \times 15 - 12 \times 20}{140 \times 8 + 2 \times 55}\)

\(=\frac{20 \times 3 [9 \times 5-4]}{10[14 \times 8 +1]}\)

\(=\frac{6 \times 41}{112+11}\implies \frac{6 \times 41}{123}\)

\(=6 \times \frac{1}{3}\)

\(=2\)

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832.58 - 242.31 = 779.84 -?

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832.58 - 242.31 = 779.84 -?

A179.57

B199.57

C295.05

DNone of these

Nithin K ? Apr 20 '2018 at 20:8

Correct Answer: D [None of these]

Explanation:

832.58 - 242.31 = 779.84 - ?

=> 590.27 = 779.84 -?

=> ? = 779.84 - 590.27

= 189.57

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