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Question 177(vi)

Find x.

5x+5x1=750


Solution

5x+5x1=7505x+5x5=7505x(1+15)=7505x(65)=7505x=750×565x=125×55x=53×55x=54
Since the base are same on both sides, we can equate the powers.
On equating  the powers of 5, we get
                           x = 4

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