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This section includes 10 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 | |
2. |
Transform 54y = n+1 into equivalent a logarithmic expression. |
A. | log12 (n+1) |
B. | log41 (n2) |
C. | log63 (n) |
D. | log54 (n+1) |
Answer» E. | |
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 | |
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. | |
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) | |
6. |
Solve for x: log2(x2-3x)=log2(5x-15). |
A. | 2, 5 |
B. | 7 |
C. | 23 |
D. | 3, 5 |
Answer» E. | |
7. |
Find the value of x: 3 x2 alogax = 348? |
A. | 7.1 |
B. | 4.5 |
C. | 6.2 |
D. | 4.8 |
Answer» E. | |
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. | |
9. |
Solve the logarithmic function of ln(\(\frac{1+5x}{1+3x}\)). |
A. | 2x – 8x2 + \(\frac{152x^3}{3}\) – … |
B. | x2 + \(\frac{7x^2}{2} – \frac{12x^3}{5}\) + … |
C. | x – \(\frac{15x^2}{2} + \frac{163x^3}{4}\) – … |
D. | 1 – \(\frac{x^2}{2} + \frac{x^4}{4}\) – … |
Answer» B. x2 + \(\frac{7x^2}{2} – \frac{12x^3}{5}\) + … | |
10. |
Computation of the discrete logarithm is the basis of the cryptographic system _______ |
A. | Symmetric cryptography |
B. | Asymmetric cryptography |
C. | Diffie-Hellman key exchange |
D. | Secret key cryptography |
Answer» D. Secret key cryptography | |