Laws of Logarithms

The laws of logarithms turn products, quotients, and powers into simpler operations: $\log_a xy=\log_a x+\log_a y$, $\log_a\frac{x}{y}=\log_a x-\log_a y$, and $\log_a x^{n}=n\log_a x$. They let us expand, combine, or solve logarithmic equations, and they mirror the laws of indices.

You meet Laws of Logarithms in the Indices, Surds and Logarithms chapter of SPM Additional Mathematics. Knowing the term precisely matters in the exam: questions often hinge on reading a keyword correctly, and because SPM marking is analytic, using the right definition in your working helps secure method marks.

Our teachers make sure a student can not only recite what Laws of Logarithms means but use it fluently in a full solution.

Because the SPM Add Math paper is bilingual (BM/EN), it helps to know this term in each language: Laws of Logarithms (EN) · Hukum Logaritma (BM) · 对数定律 (中文)

Other key terms from the Indices, Surds and Logarithms chapter you may want to check:

• Index
• Laws of Indices
• Surd
• Rationalising the Denominator
• Logarithm
• Change of Base Formula