Use the definition of logarithmic function to evaluate each logarithm at the ind

Question

Use the definition of logarithmic function to evaluate each logarithm at the indicated value of x without using a calculator
Function. Value A. F(x) = log 2^x X=16 B. F (x) = log 16^x x= 1/4 C. F(x) = log 10^x x= 1/1000 Use the definition of logarithmic function to evaluate each logarithm at the indicated value of x without using a calculator
Function. Value A. F(x) = log 2^x X=16 B. F (x) = log 16^x x= 1/4 C. F(x) = log 10^x x= 1/1000 Use the definition of logarithmic function to evaluate each logarithm at the indicated value of x without using a calculator
Function. Value A. F(x) = log 2^x X=16 B. F (x) = log 16^x x= 1/4 C. F(x) = log 10^x x= 1/1000 Function. Value A. F(x) = log 2^x X=16 B. F (x) = log 16^x x= 1/4 C. F(x) = log 10^x x= 1/1000

Explanation / Answer

A) F(x) = log 2^x X=16

F(16) = log 2^16 = 16*log2 = 16*0.3010 = 4.816

B) F (x) = log 16^x x= 1/4

F(1/4) = log 16^(1/4) = log (2^4)^(1/4) = log 2 = 0.3010

C) F(x) = log 10^x x= 1/1000

F(1/1000) = log 10^(1/1000) = (1/1000)*log 10 = 1/1000 = 0.001

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