Answer:
A, B, and C
Step-by-step explanation:
The expression [tex]log_{x}a=b[/tex] means "x to the power b equal a"
The expression [tex]log_5125+log_5125[/tex] means "5 raised to what power is 125" + "5 raised to what power is 125".
we know 5 to the power 3 is 125, so the expression is 3 + 3 = 6
A.
[tex]log_{5}15,625[/tex] means 15 to "what power" gives us 15,625?
we know that 5 to the power 6 is 15625, so the expression [tex]log_{5}15,625[/tex] is equal to 6.
B.
The expression [tex]log_{5}(5^6)[/tex] means 5 raised to what power is "5 raised to 5"? Simple, the answer is 6
C.
this is 6 (given)
D.
Whenever we don't have a base for the log, it is taken as "base 10". So the expression Log 15625 means "10 raised to what power is 15,625"? It is approximately 4.19
Thus we can see that Option A, B, & C all are equal to the expression given (6).
