Theory question 101
Indices and LogarithmsSimplify: (625(3x/4 − 1) + 125(x−1))/5(3x−2).
Show the model answer
Model answer
625^(3x/4 − 1) = 5^(3x − 4); 125^(x − 1) = 5^(3x − 3).
Divide by 5^(3x − 2): 5^(−2) + 5^(−1) = 1/25 + 1/5 = 6/25.
Explanation
Write everything as a power of 5.