Question 501183: If the number 225 is written in exponential form, what is the base? I think the answer is 5 to the 45th power.
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! If the number 225 is written in exponential form, what is the base? I think the answer is 5 to the 45th power.
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definition: base raised to the logarithm of a number=number
for given problem:
number=225
To write this number in exponential form you could have many different combinations of base and exponent. For example, if you used base 10, its exponent would 2.3532 or its logarithm base 10. That is, 10^2.3252=225. If you used base e, its exponent would 5.4161 or its logarithm base e. That is, e^2.3252=225. I used base 10 and base e as examples because most calculators have these bases, but these examples would be same for any base.
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