Respuesta :
The result of the given logarithmic expression log₉27-log₉9 is log₉ 3.
What is termed as logarithms?
A logarithmic term is one that embodies a number in logarithmic form. It can also be referred to as a log term.
A quantity is also the product of two or more quantities. As a result, a term could be the product of two or even more quantities, at least one of which can be in logarithmic form. In such cases, the terms are referred to as log terms.
A quantity is also the quotient of two quantities. So, if a term is also a quotient of quantities, and at least one of the quantities can be expressed in log form, the terms are mathematically referred to as log terms.
- Quotient Rule: ㏒(A/B) = ㏒A - ㏒B
- Product Rule : ㏒A + ㏒B = ㏒(AB)
- Power Rule: n㏒A = ㏒Aⁿ
- Base Rule = ㏒ₐb = ㏒ₓb/㏒ₓa
- Exponent Rule = e∧lnx = x
Now, as per the given question;
= log₉27-log₉9
So, applying the Quotient Rule in the given expression;
= log₉ (27/9)
= log₉ 3
Thus, the given expression simplified in the logarithmic expression as log₉ 3.
To know more about the Quotient Rule, here
https://brainly.com/question/28346542
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