Asked by Ian
Match each logarithmic property name to the equation that demonstrates its application. The logarithmic property names are Product Property, Power Property, and Quotient Property. The equations that demonstrate are 3*log5(2) =log5(8), log (100)-1log (10) =log (10), log2(4) +log2(8) =log2(32).
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- Product Property: log2(4) + log2(8) = log2(32)
- Because log_b(M) + log_b(N) = log_b(MN) and 4·8 = 32.
- Power Property: 3·log5(2) = log5(8)
- Because n·log_b(a) = log_b(a^n) and 2^3 = 8.
- Quotient Property: log(100) − log(10) = log(10)
- Because log_b(A) − log_b(B) = log_b(A/B) and 100/10 = 10.
- Because log_b(M) + log_b(N) = log_b(MN) and 4·8 = 32.
- Power Property: 3·log5(2) = log5(8)
- Because n·log_b(a) = log_b(a^n) and 2^3 = 8.
- Quotient Property: log(100) − log(10) = log(10)
- Because log_b(A) − log_b(B) = log_b(A/B) and 100/10 = 10.
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