For any positive numbers a, b, and d, with b not equal to 1, log base b (a/d) = A. Log base b a * log base b d B. Log base b a + log base b d C. Log base b a - log base b d D. D * log base b a

C. Log base b (a) - Log base b (d)

Step-by-step explanation:

In logarithm, log means index or exponent. It can be explained with following example. Consider 2^5 = 32

here index = log = 5 so you can write the log of 32 = 5

Consider 64/16 = 4

now 64 = 2^6 and 16 = 2^4

We can write log 2(64) = 6 and log2(16)=4

Now log 64/16= log 4= 2

Also log2(64)-log2(16)=6-4=2

Therefore

Log base b (a/d) = Log base b (a) - Log base b (d)

answer for #1 is c

answer for #2 is d

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