Indices, Logarithms and Surds - Jamb Mathematics Past Questions and Answers

Question 186:

• JAMB 2015

Evaluate log₇17

A. 1.35
B. 1.353
C. 1.455
D. 0.455

Question 187:

• JAMB 2015

Evaluate log5(\( y^2x^5 ÷ 125b½) \)

A. 2 log₅y + 5log₅ y² − 3
B. Log₅ y² + 5log₅ x + 3
C. 25log_y 5 + 3
D. 2log₅y + 5log₅x − ½ log₅b −3

Question 188:

• JAMB 2015

Solve the equation
\( 5^{(x − 2)} = (1 ÷ 125)^{(x +3)}\)

A. 3/2
B. − 7/4
C. 4/7
D. 7/4

Question 189:

• JAMB 2015

Rationalize 5 ÷ (2 − √3)

A. 3(2 + √5)
B. 2(3 + √5)
C. 5(2 + √3)
D. 3 √2 + 1

Question 190:

• JAMB 2016

Rationalize \(\frac{\sqrt{6} - \sqrt{4}}{\sqrt{6} + \sqrt{4}}\)

A. 5 + 2 \(\sqrt{6}\)
B. 5 - 4 \(\sqrt{6}\)
C. 5 + 4 \(\sqrt{6}\)
D. 5 - 2 \(\sqrt{6}\)