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

Algebra.Com
Question 21913: How do I find log613.44?
I do not know how to put it in my calculator
Answer by AnlytcPhil(1806)   (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
RELATED QUESTIONS

How do I find the real zero of a polynomial function fx=-9(x-8)(x-1). I put it in my... (answered by Alan3354,MathLover1)
Hello, I'd like to know how to solve the following Logarithmic equation for x... (answered by Edwin McCravy,Alan3354,MathTherapy)
how do i solve this equations by graphing it? and how do i put it in my calculator to... (answered by stanbon)
find f sub yx (x,y) if f(x,y) = (3x-8y)^6 I started finding f sub y: 6 (3x-8y)^5 * -8 (answered by jim_thompson5910)
i do not understand how to put an equation into a graphing calculator. The problem i am... (answered by jim_thompson5910)
ln 800-ln 350/ 0.03 how do I put this in calculator, to find... (answered by stanbon)
How do you use a graphing calculator to graph f(x)=x^7-2x^5 on an interval of (-2,2)? I... (answered by stanbon)
I understand logarithms mostly but I can't remember how to do logarithms with a base... (answered by jim_thompson5910)
write the following in terms of log3, log5 and/or log2. the terms are log27 , log.6,... (answered by jsmallt9)