Exponents??????????????????????
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Exponents??????????????????????

[From: ] [author: ] [Date: 12-04-13] [Hit: ]
i just learned that it was a rule that anything to the zero power is one.because it acts like one.......
What operation would you use in order to find x in this equation :3^x=243? And what about this : x^8=6561? If you wouldn't mind answering another question, why is n^0 always 1?

Just curious , that's all.

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You must use a logarithm to solve 3^x = 243
xlog3 = log243
x = log243/log3
x = 5

To solve, x^8 = 6561, take the 8th root of 6561, which is more easily done by taking the square root of 6561 four times.
x^8 = 6561
x^4 = 81
x^2 = 9
x = (+ or -) 3

n^0 is always 1 because any number to the 0th power is 1.

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you would use logarithims to solve the equation. so you would rewrite your equations as logs then solve. i cant answer the other question, i just learned that it was a rule that anything to the zero power is one.

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3^x=3^5
x=5
or use logarithms (I find it easier to reduce to the same base when possible though)

6561^(1/8)
=3

because it acts like one.
example:
(3^3)/(3^3)=3^0
or
27/27=1
1
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