SOLUTION: use log_(5)2=0.4307 and log_(5)3= 0.6826 to approximate the value of log_(5)54 thank you

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Question 1074819: use log_(5)2=0.4307 and log_(5)3= 0.6826 to approximate the value of log_(5)54
thank you
Found 2 solutions by Boreal, MathTherapy:
Answer by Boreal(15235)   (Show Source): You can put this solution on YOUR website!
The log5 (6)=log 5 (2*3)=log 5(2)+log 5 (3)
That is 1.1133
log 5 (54)=log 5 (9*6)=log 5(9)+log 5(6)
But log 5(9)=log 5(3^2)=2 log 5(3)=1.3652
log 5 (6)=1.1133
The approximate answer is 1.3652+1.1133=2.4785 ANSWER
5^2.4785=54.00
Answer by MathTherapy(10806)   (Show Source): You can put this solution on YOUR website!
use log_(5)2=0.4307 and log_(5)3= 0.6826 to approximate the value of log_(5)54
thank you
		

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0.4307 + 3(0.6826) -------- Substituting 0.4307 for , and 0.6826 for

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