MEDIUM

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If $2^{x} = 4^{y} = 8^{- z}$ , then what is the value of $(\frac{1}{x} + \frac{1}{y} + \frac{1}{z})$ ?

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Important Questions on Exponentials and Logarithms

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

If the positive square root of

(5 + 3 \sqrt{2}) (5 - 3 \sqrt{2})

α

, then what is the positive square root of

8 + 2 α

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

x = \sqrt{2}, y = \sqrt[3]{3} and z = \sqrt[6]{6}

, then which one of the following is correct?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

5^{x + 1} - 5^{x - 1} = 600

, then what is the value of

10^{2 x}

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

Solve

\frac{2^{8} - 1}{{(\sqrt{2})}^{12}} = ?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

x = t^{\frac{1}{t - 1}} and y = t^{\frac{t}{t - 1}}, t > 0, t \neq 1,

then what is the relation between

x and y ?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

x = \sqrt{4 \sqrt{4 \sqrt{4 \sqrt{4 \dots}}}}

, then what is the value of

x

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

What is

\frac{1}{a^{m - n} - 1} + \frac{1}{a^{n - m} - 1}

equal to?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

What is the remainder when we divide

5^{70} + 7^{70}

74

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

What is the square root of

15 - 4 \sqrt{14}

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

6^{3 - 4 x} 4^{x + 5} = 8

( Given

\log_{10} 2 = 0.301 and \log_{10} 3 = 0.477

), then which one of the following is correct?

HARD

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

A = 4^{5} \times 7^{3}

and

B = 7^{2} \times 4^{6}

, then what is the value of

A \times B

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

What is the simplified value of $[(\sqrt{41} + \sqrt{7}) \div (\sqrt{41} - \sqrt{7})] ?$

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

Find the value/values of x for the given equation.

$2^{(2 x + 3)} - 17 = 9 (2^{x} - 2)$

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

x = \frac{\sqrt{3} + 1}{\sqrt{3} - 1}

and

y = \frac{\sqrt{3} - 1}{\sqrt{3} + 1},

then what is the value

x^{3} - y^{3}

HARD

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

x^{2 a} = y^{2 b} = z^{2 c} \neq 0

and

x^{2} = y z

, then value of

\frac{a b + b c + c a}{b c}

is:

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

{(x^{5} \div x^{4})}^{3} \div x^{2} = ?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

To what power

- 3

should be raised to get

- 2187 ?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

Which one of the following is the largest divisor of

3^{x} + 3^{x + 1} + 3^{x + 2}

, if

x

is any natural number?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

9^{x} 3^{y} = 2187 and 2^{3 x} 2^{2 y} - 4^{x y} = 0

, then what can be the value of

(x + y)

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Exponents

A = 2^{3} \times 3^{4}

and

B = 2^{5} \times 3^{2}

, then what is the value of A x B?

If 2x=4y=8-z, then what is the value of 1x+1y+1z?

Important Questions on Exponentials and Logarithms

Learn and Prepare for any exam you want !

If $2^{x} = 4^{y} = 8^{- z}$ , then what is the value of $(\frac{1}{x} + \frac{1}{y} + \frac{1}{z})$ ?