To solve this exponential equation, we can first simplify by factoring out common terms:
515^x - 35^(x+1) - 3^x + 3 = 0
Rewrite the terms using exponent properties:
535^x - 355^x - 3^x + 3 = 0155^x - 155^x - 3^x + 3 = 0
Now we can see that the terms involving 5^x cancel out, leaving us with:
-3^x + 3 = 0
Subtract 3 from both sides:
-3^x = -3
Now we can rewrite the equation using base 3:
3^x = 3
Since the bases are the same, we can solve for x by equating the exponents:
x = 1
Therefore, the solution to the equation is x = 1.
To solve this exponential equation, we can first simplify by factoring out common terms:
515^x - 35^(x+1) - 3^x + 3 = 0
Rewrite the terms using exponent properties:
535^x - 355^x - 3^x + 3 = 0
155^x - 155^x - 3^x + 3 = 0
Now we can see that the terms involving 5^x cancel out, leaving us with:
-3^x + 3 = 0
Subtract 3 from both sides:
-3^x = -3
Now we can rewrite the equation using base 3:
3^x = 3
Since the bases are the same, we can solve for x by equating the exponents:
x = 1
Therefore, the solution to the equation is x = 1.