Mathematics - Functions - Logarithmic - Properties of logarithms - Expand and Condense

12 problems: (1-4) EXPAND into sum/difference of simple logs: log(5x), log(x³/y), log(√(ab)), log(x²y³/z⁴). (5-8) CONDENSE into single log: log(3)+log(7), 2log(x)-log(y), ½log(x)+3log(y), log(a)-2log(b)+log(c). (9-10) Solve equations using properties: log(x)+log(x-3)=1 → log(x²-3x)=1 → x²-3x=10. (11

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Mathematics - Functions - Logarithmic - Properties of logarithms - Expand and Condense
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Mathematics - Functions - Logarithmic - Properties of logarithms - Expand and Condense

vivmagarwal
vivmagarwalJan 29, 2026

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12 problems: (1-4) EXPAND into sum/difference of simple logs: log(5x), log(x³/y), log(√(ab)), log(x²y³/z⁴). (5-8) CONDENSE into single log: log(3)+log(7), 2log(x)-log(y), ½log(x)+3log(y), log(a)-2log(b)+log(c). (9-10) Solve equations using properties: log(x)+log(x-3)=1 → log(x²-3x)=1 → x²-3x=10. (11

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MathematicsFunctions - LogarithmicClass 12, A Level, Grade 11, Class 12, DP Grade 12

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