Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

EASY

Earn 100

Solve the logarithmic equation for $x .$

$2 \cdot x^{(\log_{4} 3)} + 3^{(\log_{4} x)} = 27$

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Important Questions on Exponentials and Logarithms

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

\log_{10} x + \log_{10} x^{2} = 2 \log_{10} x + 1

, then what is the value of

x

?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

\log_{10} 2 = 0.3010

and

\log_{10} 3 = 0.4771

, then the value of

\log_{100} (0.72)

is equal to:

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

5^{x - 1} = {(2.5)}^{{\log_{10}}^{5}}

, then what is the value of

x

?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

5^{(x - 3)} = 8

, then what is

x

equal to?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

\log_{5} \log_{8} (x^{2} - 1) = 0

, then a possible value of

x

is

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

What is

\log_{10} 31.25

equal to?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

How many digits are there in

{(54)}^{10}

?

(Given that \log 10^{2} = 0.301 a n d \log 10^{3} = 0.477)

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

What is the Value of

\log_{10} (\cos θ) + \log_{10} (\sin θ) + \log_{10} (\tan θ) + \log_{10} (\cot θ) + \log_{10} (\sec θ) + \log_{10} (cosec θ)

?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

\log_{10} (8) = 0.9031

, then what is the value of

\log_{10} (8000) + \log_{10} (600)

?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

What is the solution of the equation

x \log_{10} (\frac{10}{3}) + \log_{10} 3 = \log_{10} (2 + 3^{x}) + x

?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

For

0 < m < 1

, which one of the following is correct?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

The inequality

\log_{a} {f (x)} < \log_{a} {g (x)}

implies that

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

\log x = 1.2500 and y = x^{\log x}

, then what is logy equal to?

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

If

\log_{10} (1995)

= 3.3000

, then what is the value of

{(0.001995)}^{\frac{1}{8}}

?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

There are

n

zeros appearing immediately after the decimal point in the value of

{(0.2)}^{25}

. It is given that the value of

\log_{10} 2 = 0.30103

. The value of

n

is

HARD

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

Let

S

be the sum of the digits of the number

15^{2} \times 5^{18}

in base

10

. Then,

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

\log_{0.01} (10, 000) = x

; Find the value of

x

?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

It is given that

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

. How many digits are there in

(108)^{10} ?

MEDIUM

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

The inequality

\log_{2} \frac{3 x - 1}{2 - x} < 1

holds true for

EASY

Quantitative Aptitude>Algebra>Exponentials and Logarithms>Logarithm

The value of

{(\log_{3} 30)}^{- 1} + {(\log_{4} 900)}^{- 1} + {(\log_{5} 30)}^{- 1}

is