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A Level Maths

Math Worksheets

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

Examples:

1. Find the exact solutions of

(i) e^{2x+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) 3^{x} = 5

(b) log_{2}(2x+1) - log_{2}x = 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) e^{x} + 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.

A Level Maths

Math Worksheets

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

Exponential and Log equations

Examples:

1. Find the exact solutions of

(i) e

(ii) ln(3x+2) = 4

2. Find, giving your answer to 3 significant figures where appropriate, the value of x for which

(a) 3

(b) log

(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) e

Maths Revision

The value of Bob’s car can be calculated from the formula

V = 17000e

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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