Final answer:
To solve the equation log5(625) = x, recognize that 5 raised to the power of 4 equals 625. Therefore, the value of x is 4.
Step-by-step explanation:
To solve the logarithmic equation log5(625) = x, we need to understand how logarithms work. A logarithm asks the question, what exponent do we need for one number to become another number? In this case, we are looking for the exponent that 5 needs to be raised to, in order to get 625.
Since 5 to the power of 4 is 625 (because 5 × 5 × 5 × 5 = 625), the exponent that we need is 4. Therefore, log5(625) simplifies to x = 4.