Evaluating Logarithms Without Calculator

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Section 3.2
Question 16


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How is 16 done without a calculator?
 
f(x)=log (25, x) x=5

f(x)=log (25, 5)
f(x)= log(5)/log(25)
f(x)= log(5)/log(5^2)
f(x)= log(5)/(2log(5)).........simplify
f(x) = 1/2
 
f(x)=log (25, x) x=5

f(x)=log (25, 5)
f(x)= log(5)/log(25)
f(x)= log(5)/log(5^2)
f(x)= log(5)/(2log(5)).........simplify
f(x) = 1/2

Let me see if I can do 18.

f(x) = log x, where x = 10.

f(x) = (10, 10)

f(x) = log (10)/log (10)

f(x) = 1/1

f(x) = 1
 

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