To solve this equation, we can first simplify the equation by combining like terms:
10 * 5^(x-1) + 5^(x+1) = 7
10 5^(x) 5^(-1) + 5^x * 5 = 7
10 5^(x) (1/5) + 5 * 5^x = 7
2 5^x + 5 5^x = 7
7 * 5^x = 7
Now, we can isolate the variable by dividing both sides by 7:
5^x = 1
Since 5^0 equals 1, we can determine that x = 0 is the solution to the equation.
To solve this equation, we can first simplify the equation by combining like terms:
10 * 5^(x-1) + 5^(x+1) = 7
10 5^(x) 5^(-1) + 5^x * 5 = 7
10 5^(x) (1/5) + 5 * 5^x = 7
2 5^x + 5 5^x = 7
7 * 5^x = 7
Now, we can isolate the variable by dividing both sides by 7:
5^x = 1
Since 5^0 equals 1, we can determine that x = 0 is the solution to the equation.