SOLUTION: How do I find log<sub>6</sub>13.44? I do not know how to put it in my calculator

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Question 21913: How do I find log613.44?
I do not know how to put it in my calculator
Answer by AnlytcPhil(1808) About Me  (Show Source):
You can put this solution on YOUR website!
How do I find log613.44?
I do not know how to put it in my calculator

You must use the change of base formula

             log(u) 
logB(u) = ------------
             log(B)

Where log(u) is the base 10 log found on calculators as just "log"

                log(13.44)       1.28399269
log6(13.44) = ------------- = ---------------- = 1.450102751
                 log(6)         .7781512504

Alternatively, you may use natural logs instead

             ln(u) 
logB(u) = ------------
             ln(B)

Where ln(u) is the base e log found on calculators as "ln"

                ln(13.44)       2.598235335
log6(13.44) = ------------- = ---------------- = 1.450102751
                 ln(6)          1.791759469

Edwin
AnlytcPhil@aol.com