Question

The solution to the equation 5(3^x ) + 3(5^x ) = 510 is

Answer 1

Answer:

The answer is 3.

Step-by-step explanation:

5(3^x) + 3(5^x) = 510

5(3^x)/15 + 3(5^x)/15 = 510/15

3^x-1 + 5^x-1 = 34

3^x-1 + 5^x-1 = 9 + 25

3^x-1 = 9 and  5^x-1 = 25

As the powers rare same therefore.

x-1 = 2 , x-1 = 2

X = 3

Thus the value of x is 3.