Question

5^{x+1}+5^{2-x}=5^3+1......find x​

Answer 1

Step-by-step explanation:

5^x+1+5^2-x=5^3+5^0 (as 5^0 is 1)

so 5^x+1=5^3 and 5^2-x=5^0

5^x+1=5^3

as bases are equal equate powers

x=3-1=2

in second also 5^2-x=5^0

x becomes 2 only.

therefore the value of x in this problem is 2.and it is equal in both cases

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