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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.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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.

Rotate to landscape screen format on a mobile phone or small tablet to use the **Mathway** widget, a free math problem solver that **answers your questions with step-by-step explanations**.

You can use the free Mathway calculator and problem solver below to practice Algebra or other math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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