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Quick questions with Exponents

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Source: — Problem Solving |
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by gmahendru » Thu Jun 11, 2009 6:48 pm
1) 5^21 * 2^22 = 2^(x+n) * 5^n

so 5^21 = 5^n
n = 21

2) (rad2 + rad5)^2
= 2 + 5 + 2(rad10)
~ 7 +6
~ 13

3) 2^x -2^(x-2)= 3(2^13)

2^(x-2) [2^2 - 1] = 3*2^13
(x-2) = 13
x= 15
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