SOLUTION: For a particular real number a and base b it is known that log(base b)a=2.75. Determine the value of log(base b)(a^3) I tried: a=b^2.75 substitute log(base b)((b^2.75)^3)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: For a particular real number a and base b it is known that log(base b)a=2.75. Determine the value of log(base b)(a^3) I tried: a=b^2.75 substitute log(base b)((b^2.75)^3)       Log On


   



Question 721950: For a particular real number a and base b it is known that log(base b)a=2.75. Determine the value of log(base b)(a^3)
I tried:
a=b^2.75
substitute
log(base b)((b^2.75)^3)
b^1=b^8.25 didn't make any sense

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
For a particular real number a and base b it is known that log(base b)a=2.75. Determine the value of log(base b)(a^3)
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logb(a)=2.75
a=b^(2.75) (exponential form: base(b) raised to log of number(2.75)=number(a))
a^3=b^(2.75)^3=b^(8.25)
logb(a^3)=logb(b^8.25)=8.25
log of base raised to an exponent=exponent