6^(10x) - 6^(10x-1) = 5
Factor out a 6^(10x-1) from both terms:
6^(10x-1)(6 - 1) = 5
6^(10x-1)(5) = 5
Divide both sides by 5:
6^(10x-1) = 1
Since any number raised to the power of 0 equals 1, we can rewrite the equation as:
6^0 = 1
Therefore, the value of x that satisfies the equation is 0.
6^(10x) - 6^(10x-1) = 5
Factor out a 6^(10x-1) from both terms:
6^(10x-1)(6 - 1) = 5
6^(10x-1)(5) = 5
Divide both sides by 5:
6^(10x-1) = 1
Since any number raised to the power of 0 equals 1, we can rewrite the equation as:
6^0 = 1
Therefore, the value of x that satisfies the equation is 0.