Test Index

WAEC Mathematics 2024 Paper

© africaexams.com

Question : 8

Total: 50

If log

_{3}^{2x - 1}

= 5, find the value of x

8
16
64
122

Solution:

Concept:

Convert the logarithmic equation into exponential form to solve for

x

.

Explanation:

The equation

\log_3(2x - 1) = 5

means that

3

raised to the power

5

equals

2x - 1

.

So,

3^5 = 2x - 1

.

Since

3^5 = 243

, we get:

243 = 2x - 1

.

Add

1

to both sides:

244 = 2x

.

Divide both sides by

2

:

x = 122

.

Answer:

x = 122

Option D.

© africaexams.com

Go to Question:

Prev Question

Next Question