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Mathematics 17 Online
G3tH3Pxmpthat5Amx5t:

When proving the product, quotient, or power rule of logarithms, various properties of logarithms and exponents must be used. Which property listed below is used in all of these proofs?

darkknight:

Property below? can you post?

G3tH3Pxmpthat5Amx5t:

darkknight:

so the 4 different types of rules for logaritms are product, quotient, power, and change of base. Do you know all of these?

G3tH3Pxmpthat5Amx5t:

no

darkknight:

Alright, so let me get you the formulas Product rule: \[\log_{a}XY =\log_{a}X+\log_{a}Y\] Quotient rule: \[\log_{a}X/Y =\log_{a}X-\log_{a}Y\] Power rule: \[\log_{a}X^Y=Y \log_{a}X \]

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