Final answer:
The given equation log₅625=4 can be rewritten as 5⁴=625. So, the answer is ( C = 4 ) and ( D = 625 ).
Step-by-step explanation:
The given equation is log5625=4. We can rewrite this equation in the form 5c=D, where c=4 and D=625. When we rewrite a logarithmic equation in exponential form, the base becomes the base of the exponential equation, the exponent becomes the power, and the result becomes the answer. Given (log_5 625=4), this means (5^4 = 625).
Therefore, 54=625.
So, ( C = 4 ) and ( D = 625 ).Therefore, ( 5^4 = 625 ) is the equivalent form.