Asked by Josh
                Let logb 2=2.217 and logb 3=3.417. Find logb 3b
Please walk me through this steo by step.
            
        Please walk me through this steo by step.
Answers
                    Answered by
            Reiny
            
    One of the main rules of logs is this one:
log (AB) = log A + log B , as long as the base is the same in all log expressions.
We have that case here, everything is in terms of base b
so log<sub>b</sub> (3b) = log<sub>b</sub 3 + log<sub>b</sub b
= 3.417 + 1 , since log<sub>b</sub b = 1
= 4.417
    
log (AB) = log A + log B , as long as the base is the same in all log expressions.
We have that case here, everything is in terms of base b
so log<sub>b</sub> (3b) = log<sub>b</sub 3 + log<sub>b</sub b
= 3.417 + 1 , since log<sub>b</sub b = 1
= 4.417
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