Intro to Logarithm Properties

Advanced Algebra: Intro to Logarithm Properties

 

Logarithm Addition Property

ab = c | loga c = b

 logB + logB C = logB (A*C)     (B = Base)

log2 8 + log2 32 = log2 (256)

3           5                 8

 

Logarithm Subtraction Property

ab = c | loga c = b

logB A – logB C = logB (A/C) (B = Base)

log3 1/9 + log3 89 = log3 (1/9 * 1/81) 

-2           -4              -6

 

Logarithm Multipication Property

A * logB C = logB (CA) (B = Base)

3 * log2 8 = log2 (83)       ( 83      OR      2

3            *       3            =       9

 

 

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