SOLUTION: use the formula log(base a)x=log(base b)x/log(base b)a and prove each property: a. verify algebraically that log(base a)b=1/log(base b)a

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: use the formula log(base a)x=log(base b)x/log(base b)a and prove each property: a. verify algebraically that log(base a)b=1/log(base b)a      Log On


   

Question 288510: use the formula log(base a)x=log(base b)x/log(base b)a and prove each property:
a. verify algebraically that log(base a)b=1/log(base b)a
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
use the formula log(base a)x=log(base b)x/log(base b)a and prove each property:
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a. verify algebraically that log(base a)b=1/log(base b)a
loga(b) = log(b)/log(a)
Note: That equation is true for ANY base.
Let the base be "b":
Then loga(b) = logb(b)/logb(a)
= 1/logb(a)
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Cheers,
Stan H.