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Logs and Exponential Equations

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A Level Maths
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Examples, solutions, videos, activities and worksheets that are suitable for A Level Maths to learn how to solve Log and Exponential problems.

A-Level Maths Edexcel Core 3 - Past Paper Questions
Exponential and Log equations
1. Find the exact solutions of
(i) e2x+3 = 6
(ii) ln(3x+2) = 4
2. Find, giving your answer to 3 significant figures where appropriate, the value of x for which
(a) 3x = 5
(b) log2(2x+1) - log2x = 2
(c) ln sin x = - ln sec x, in the interval 0 < x < 90°
3. Find the exact solutions to the equations
(a) ln x + ln 3 = ln 6
(b) ex + 3e-x = 4

Exponential Equation : C3 Edexcel January 2013 Q8
Maths Revision
The value of Bob’s car can be calculated from the formula
V = 17000e-0.25t + 2000e-0.5t + 500
where V is the value of the car in pounds (£) and t is the age in years.
(a) Find the value of the car when t = 0
(b) Calculate the exact value of t when V = 9500
(c) Find the rate at which the value of the car is decreasing at the instant when t = 8.
Give your answer in pounds per year to the nearest pound.

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