SOLUTION: 25^(5-x)=1 Find x

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Question 1156132: 25^(5-x)=1
Find x

Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!
255-x = 1
Since we know that 

[ANY NUMBER*][ZERO POWER] = 1    <--[see footnote at the bottom]

then

250 = 1

and since no other power will give 1, then
it must be true that the exponent in 255-x = 1
must equal 0.  The exponent is 5-x, so we put "= 0" after
it and solve:

5-x = 0

You solve for x.

Edwin
*there is one exception to this rule, 00 is not defined.