prove that log a to the base a is 1
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According to given sum,
let,
![log_{a}(a) = x log_{a}(a) = x](https://tex.z-dn.net/?f=+log_%7Ba%7D%28a%29++%3D+x)
![{a}^{x} = a {a}^{x} = a](https://tex.z-dn.net/?f=+%7Ba%7D%5E%7Bx%7D++%3D+a)
we can write the equation as
![{a}^{x} = {a}^{1} {a}^{x} = {a}^{1}](https://tex.z-dn.net/?f=+%7Ba%7D%5E%7Bx%7D++%3D++%7Ba%7D%5E%7B1%7D+)
so x =1 .
![but \: x = log_{a}(a) but \: x = log_{a}(a)](https://tex.z-dn.net/?f=but+%5C%3A+x+%3D++log_%7Ba%7D%28a%29+)
![hence \: log_{a}(a) = 1 hence \: log_{a}(a) = 1](https://tex.z-dn.net/?f=hence+%5C%3A++log_%7Ba%7D%28a%29++%3D+1)
:-)Hope it helps u.
let,
we can write the equation as
so x =1 .
:-)Hope it helps u.
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