Question

5 raise to power 1 + x + 5 raise to power 1 - x = 26.
find the value of x​

Answer 1

Answer:

x = 1

Step-by-step explanation:

${5}^{1+x} + {5}^{1-x} = 26 \\ {5}^{x} ( {5}^{1} + {5}^{ - 1} ) = 26 \\ {5}^{x} (5 + \frac{1}{5} ) = 26 \\ {5}^{x} ( \frac{26}{5} ) = 26 \\ {5}^{x} = 5 \\ x = 1$

Answer 2

Answer:

X=1

Step-by-step explanation:

5^x+1 + 5^x-1=26

5^x(5^1 + 5^-1)=26

5^x(26/5)=26

5^x=5

X=1