Solve Exponential Equations Using ln / Natural logarithms - The Maths Prof
Автор: The Maths Prof
Загружено: 2026-03-12
Просмотров: 89
Описание:
Learn how to solve exponential equations using natural logarithms (ln) in this step-by-step maths lesson. In this video I show you how to solve exponential equations involving eˣ using ln, including equations that become quadratic in eˣ. This lesson is ideal for students revising exponentials and logarithms.
⏱ You can jump directly to a specific question using the timestamps below:
01:26 Question 1: Solve e²ˣ⁻³ = 20
02:24 Question 2: Solve e⁰·⁵ˣ⁺³ = 7
03:40 Question 3 : Solve eˣ = 3ˣ⁻² (9709 pure maths 3 past exam question)
06:42 Question 4: Solve e²ˣ - 5eˣ + 6 = 0
09:29 Question 5: Solve 6e²ˣ - 13eˣ - 5 = 0
12:17 Question 6: Try it yourself! Solve e²ˣ - 7eˣ + 10 = 0 (Answer: x = ln 2, x = ln 5 )
I hope you find this lesson helpful! Stay tuned for part 2 in this series on Natural Logarithms. Subscribe to keep up to date with new uploads, and follow me on Instagram @themathsprof for more maths content! 😊
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