Exponential Equations (Edexcel A-Level Mathematics): Quizzes

📚Quizzes
Revision NotesModel AnswersQuizzesFlashcardsExam Questions
Exponential Equations
Sign up to keep practising.Create a free account to play more quizzes and track your progress.

Practise the questions

10 questions from this quiz

Show

To solve 5x=2.85^x = 2.8, what is the first step?

Take logs of both sides

What does 6log⁡6(0.32)6^{\log_6(0.32)} equal?

0.32

When solving 5x=2.85^x = 2.8, which expression equals x?

log⁡(2.8)log⁡(5)\frac{\log(2.8)}{\log(5)}

Can you use ln⁡\ln instead of log⁡\log when solving 5x=2.85^x = 2.8?

Yes, gives same result

To solve log⁡6(x)=0.2\log_6(x) = 0.2, what should you do?

Raise 6 to both sides: x=60.2x = 6^{0.2}

Why is 10log⁡(x)+102log⁡(x)=10410^{\log(x)} + 10^{2\log(x)} = 10^4 wrong?

Can't split exponentials: 101+102≠10310^1+10^2≠10^3

For log⁡(x)+2log⁡(x)=4\log(x) + 2\log(x) = 4, what's the first step?

Combine to get log⁡(x3)=4\log(x^3) = 4

Why is x=−1x = -1 rejected from x2−9x−10=0x^2 - 9x - 10 = 0 in a log equation?

Logarithms of negatives don't exist

For 2x+3=7.22^{x+3} = 7.2, what equation results after taking logs?

(x+3)log⁡(2)=log⁡(7.2)(x+3)\log(2) = \log(7.2)

What is the critical rule when solving log equations?

Ensure single term on each side

Explore Edexcel A-Level Mathematics Revision Notes by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Explore Edexcel A-Level Mathematics Model Answers by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Explore Edexcel A-Level Mathematics Flashcards by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Explore Edexcel A-Level Mathematics Exam Questions by Topics

Exponential & Logarithms

Laws of Logarithms

Modelling with Exponentials & Logarithms

Join 100,000+ A-Level students studying Quizzes with us.

Select your subjects, and get access to A+ resources today.