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Question

Solve for x:

(25)2x2=323125

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Solution

From question,

(25)2x2=323125

252x2=2555

252x2=(25)5 [xaya=(xy)a]

(25)2x2=(25)5

2x2=5 [xa=xba=b]

2x=5+2=7

x=72

Hence, x=72


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