SOLUTION: How do I use log_a(20)=1.4406 and log_a(5)=0.7740 to evaluate each expression. 1. log_a(100) 2. log_a 5^3

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: How do I use log_a(20)=1.4406 and log_a(5)=0.7740 to evaluate each expression. 1. log_a(100) 2. log_a 5^3      Log On


   

Question 1030171: How do I use log_a(20)=1.4406 and log_a(5)=0.7740 to evaluate each expression.
1. log_a(100)
2. log_a 5^3
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How do I use log_a(20)=1.4406 and log_a(5)=0.7740 to evaluate each expression.
1. log_a(100)
100 = 5*20
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Ans: loga(100) = loga(5) + loga(20) = 0.7740+1.4406 = 2.2146
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2. log_a 5^3 = 3*loga(5) = 3*0.7740 = 3.3220
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Cheers,
Stan H.
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