Question

If 5^x+1+5^x-1=650 then fimd x^ x​

Answer 1

Step-by-step explanation:

5^x+1 + 5^x-1 = 650

5^x(5¹ + 5-¹)= 650

5^x * 26/5 = 650

5^x = 650*5/26

5^x = 125

5^x = 5^3

x = 3

value of x^x = 3^3 = 27

Answer 2

The required value is 27.

Step-by-step explanation:

Since we have given that

$5^{x+1}+5^{x-1}=650\\\\5^x(5+5^{-1})=650\\\\5^x(5+\dfrac{1}{5})=650\\\\5^x(\dfrac{25+1}{5})=650\\\\5^x\times \dfrac{26}{5}=650\\\\5^x=650\times \dfrac{5}{26}\\\\5^x=125\\\\5^x=5^3\\\\x=3$

So, $x^x=3^3=27$

Hence, the required value is 27.

# learn more:

If x=3+2√2 fimd value of (x-1/x)³+6(x²+1/x²)

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