Explore topic-wise MCQs in Discrete Mathematics.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

If loga (( frac{1}{8}) = - frac{3}{4} ), than what is x?

A. 287
B. 469
C. 512
D. 623
Answer» D. 623
Discussion
2.

Transform 54y = n+1 into equivalent a logarithmic expression.

A. log<sub>12</sub> (n+1)
B. log<sub>41</sub> (n<sup>2</sup>)
C. log<sub>63</sub> (n)
D. log<sub>54</sub> (n+1)
Answer» E.
Discussion
3.

Evaluate: 16x 4x 9 = 0.

A. ln [( 5 + ( sqrt{21} )) / 2] / ln 8
B. ln [( 2 + ( sqrt{33} )) / 2] / ln 5
C. ln [( 1 + ( sqrt{37} )) / 2] / ln 4
D. ln [( 1 ( sqrt{37} )) / 2] / ln 3
Answer» D. ln [( 1 ( sqrt{37} )) / 2] / ln 3
Discussion
4.

Given: log4 z = B log2/3z, for all z > 0. Find the value of constant B.

A. 2/(3!*ln(2))
B. 1/ln(7)
C. (4*ln(9))
D. 1/(2*ln(3))
Answer» E.
Discussion
5.

Solve for x the equation 2x + 3 = 5x + 2.

A. ln (24/8)
B. ln (25/8) / ln (2/5)
C. ln (32/5) / ln (2/3)
D. ln (3/25)
Answer» C. ln (32/5) / ln (2/3)
Discussion
6.

Solve for x: log2(x2-3x)=log2(5x-15).

A. 2, 5
B. 7
C. 23
D. 3, 5
Answer» E.
Discussion
7.

Find the value of x: 3 x2 alogax = 348?

A. 7.1
B. 4.5
C. 6.2
D. 4.8
Answer» E.
Discussion
8.

Determine the logarithmic function of ln(1+5x)-5.

A. 5x + ( frac{25x^2}{2} + frac{125x^3}{3} + frac{625x^4}{4} )
B. x ( frac{25x^2}{2} + frac{625x^3}{3} frac{3125x^4}{4} )
C. ( frac{125x^2}{3} 625x^3 + frac{3125x^4}{5} )
D. -25x + ( frac{125x^2}{2} frac{625x^3}{3} + frac{3125x^4}{4} )
Answer» E.
Discussion
9.

Solve the logarithmic function of ln( ( frac{1+5x}{1+3x} )).

A. 2x 8x<sup>2</sup> + ( frac{152x^3}{3} )
B. x<sup>2</sup> + ( frac{7x^2}{2} frac{12x^3}{5} ) +
C. x ( frac{15x^2}{2} + frac{163x^3}{4} )
D. 1 ( frac{x^2}{2} + frac{x^4}{4} )
Answer» B. x<sup>2</sup> + ( frac{7x^2}{2} frac{12x^3}{5} ) +
Discussion