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Morgarella [4.7K]
3 years ago
10

For any positive numbers a, b, and d, with b≠1, logb(a·d) = _____.

Mathematics
2 answers:
Katena32 [7]3 years ago
4 0

Answer:

logb a* logb d

        or

logb a - logb d

             or

logb(a*d)

9966 [12]3 years ago
3 0

Answer:

The value of log_b(a\cdot d) is log_b(a)+log_b(d).

Step-by-step explanation:

Let a, b, and d are positive numbers.

Then we need to find the value of log_b(a\cdot d).

According to the multiplication property of logarithm.log_m(xy)=log_mx+log_my

The given expression is

log_b(a\cdot d)

Using the multiplication property of logarithm, we get

log_b(a\cdot d)=log_b(a)+log_b(d)

Therefore the value of log_b(a\cdot d) is log_b(a)+log_b(d).

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~~~~~~~~~~~~~

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