• A. $x={\log }_{b}N$
• B. $x={\log }_{b}b$
• C. $x=Nb$
• D. $x=N^b$

Answer: Option A

Explanation:

• A. $\frac{5}{12}$
• B. $\frac{12}{5}$
• C. $\frac{13}{5}$
• D. $\frac{5}{13}$

Answer: Option C

Explanation:

• A. ২৫
• B. ২৯
• C. ৩১
• D. ৩৭

Answer: Option C

Explanation:

• A. ২০
• B. ২২
• C. ২১
• D. ২৪

Answer: Option C

Explanation:

• A. $\frac{-3}{2}$
• B. $\frac{-2}{3}$
• C. $\frac{2}{3}$
• D. $\frac{3}{2}$

Answer: Option B

Explanation:

• A. ২১
• B. ২২
• C. ২০
• D. ২৩

Answer: Option B

Explanation:

• A. $\frac{a}{b}$
• B. $\log k\frac{a}{b}$
• C. $\log k\frac{b}{c}$
• D. $0$

Answer: Option D

Explanation:

• A. $-5,1$
• B. $2,3$
• C. $-2,3$
• D. $1,-5$

Answer: Option B

Explanation:

• A. $x^2+\frac{1}{x^2}$
• B. $1+\frac{1}{x^2}$
• C. $x+\frac{1}{x}$
• D. $x^2+1$

Answer: Option C

Explanation:

• A. $\sin \theta \cos \theta =\frac{1}{2}\sin 2\theta$
• B. $\sin \theta +\cos \theta =1$
• C. $\sin \left(-\theta \right)=\sin \theta$
• D. $\tan \theta =\frac{\cos \theta }{\sin \theta }$

Answer: Option A

Explanation:

• A. $8$
• B. $16$
• C. $256$
• D. $100$

Answer: Option B

Explanation:

• A. $2\sqrt{5}$
• B. $16\sqrt{5}$
• C. $9\sqrt{5}$
• D. $5\sqrt{2}$

Answer: Option A

Explanation:

• A. $6$
• B. $5$
• C. $4$
• D. $3$

Answer: Option B

Explanation:

• A. $1$
• B. $2$
• C. $3$
• D. $4$

Answer: Option D

Explanation:

• A. $10$
• B. $\frac{1}{10}$
• C. $\frac{1}{100}$
• D. $100$

Answer: Option C

Explanation: