Revise the laws of logarithms in order to solve logarithmic and exponential equations
Part of MathsAlgebraic and trigonometric skills
To work with logarithmic equations, you need to remember the laws of logarithms:
Solve for \(x\textgreater0\), \({\log _p}12 - {\log _p}x = {\log _p}1\)
Remember one of the laws of logs: \({\log _a}x - {\log _a}y = {\log _a}\frac{x}{y}\)
\({\log _p}12 - {\log _p}x = {\log _p}1\)
\({\log _p}\frac{{12}}{x} = {\log _p}1\)
\(\frac{{12}}{x} = 1\)
\(x = 12\)