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Summary/Background

In fact, use of logarithms is not necessary to solve the above equations. Can you see why?

Software/Applets used on this page

jsMath
This page uses jsMath
You can get a better display of the maths by downloading special TeX fonts from jsMath. In the meantime, we will do the best we can with the fonts you have, but it may not be pretty and some equations may not be rendered correctly.

Glossary

solve

To find the answer or solution to a problem.

union

The union of two sets A and B is the set containing all the elements of A and B.

Full Glossary List

This question appears in the following syllabi:

SyllabusModuleSectionTopicExam Year
AP Calculus AB (USA)1Exponentials and logsLogarithms & exponentials-
AP Calculus BC (USA)1Exponentials and logsLogarithms & exponentials-
AQA A-Level (UK - Pre-2017)C2Exponentials and logsLogarithms & exponentials-
AQA AS Maths 2017Pure MathsExponentials and LogarithmsFurther Log Equation Solving-
AQA AS/A2 Maths 2017Pure MathsExponentials and LogarithmsFurther Log Equation Solving-
CBSE X (India)AlgebraSimultaneous equationsAlgebraic solutions-
CCEA A-Level (NI)C2Exponentials and logsLogarithms & exponentials-
CIE A-Level (UK)P2Exponentials and logsLogarithms & exponentials-
Edexcel A-Level (UK - Pre-2017)C2Exponentials and logsLogarithms & exponentials-
Edexcel AS Maths 2017Pure MathsExponentials and LogarithmsFurther Log Equation Solving-
Edexcel AS/A2 Maths 2017Pure MathsExponentials and LogarithmsFurther Log Equation Solving-
I.B. Higher Level1Exponentials and logsLogarithms & exponentials-
I.B. Standard Level1Exponentials and logsLogarithms & exponentials-
Methods (UK)M2Exponentials and logsLogarithms & exponentials-
OCR A-Level (UK - Pre-2017)C2Exponentials and logsLogarithms & exponentials-
OCR AS Maths 2017Pure MathsExponentials and LogarithmsFurther Log Equation Solving-
OCR MEI AS Maths 2017Pure MathsExponentials and LogarithmsFurther Log Equation Solving-
OCR-MEI A-Level (UK - Pre-2017)C2Exponentials and logsLogarithms & exponentials-
Pre-Calculus (US)C5Exponentials and logsLogarithms & exponentials-
Pre-U A-Level (UK)1Exponentials and logsLogarithms & exponentials-
Scottish (Highers + Advanced)HM3Exponentials and logsLogarithms & exponentials-
Scottish HighersM3Exponentials and logsLogarithms & exponentials-
Universal (all site questions)EExponentials and logsLogarithms & exponentials-
WJEC A-Level (Wales)C2Exponentials and logsLogarithms & exponentials-