simplify 5 raised to the power of log5 13?

👨🏻‍🏫 學術台數學

[匿名]

2007-11-23 1:43 pm

回答 (4)

pyrodude1031

2007-11-23 1:52 pm

✔ 最佳答案

the base 5 and the log5 cancels each other out ..
hence the answer is 13

參考: myself

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[匿名]

2007-11-23 10:07 pm

If a base is raised to a logarithm with the same base; (ex: a^loga x) it is equal to x. hence 5^log5 13 is 13

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[匿名]

2007-11-23 9:58 pm

According to the definition of the log:
If a^b=c, b=log(base a)c

Now, let a be 5 and c be 13:

5^b = 13

b = log5 13

Thus, 5^(log5 13) = 13

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[匿名]

2007-11-23 9:56 pm

If you are interested in learning logarithm you first learn these.

logM+logN=log(MN)
logM-logN=log(M/N)
nlogM=logM^n

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