Solving exponential equations

Sample Solving exponential equations questions

A few of the 5 questions, from easier to harder. Choose your exam board and tier to practise them, with every answer marked.

1. Question 13 marksGrade 8
   Solve $3^{2x-1} = 5$, giving your answer correct to 3 significant figures. [3]
   Show the worked solution

   Take $\ln$ of both sides: $(2x - 1)\ln 3 = \ln 5$

What are the common mistakes in Solving exponential equations?

When a pupil makes one of these on Revision Workshop, the marking engine names the mistake and explains it, instead of just marking the answer wrong.

• Attempts to compare exponential expressions with different bases by dividing the bases directly, instead of taking logarithms of both sides

  With different bases on each side, take logarithms of BOTH sides first: $x\ln 5 = (x+1)\ln 3$ - the two exponents can't be compared directly without doing this, since $5^x$

Quick answers about Solving exponential equations

How many Solving exponential equations practice questions are there?

There are 5 self-marking Additional Maths Maths questions on Solving exponential equations, written for Cambridge IGCSE Additional Maths (0606) across Single tier. Each one is marked instantly and has a full worked solution.

Do I need an account to practise Solving exponential equations?

No. You can start practising Solving exponential equations straight away without an account. A free account keeps your results across sessions, so you can see your progress on this topic over time.