Answer:
It is B
Step-by-step explanation:
[tex] ln(x) + ln(y) - ln(z) [/tex]
from law of logarithms:
[tex]{ \bf{ ln(a) + ln(b) = ln(ab) }} \\ and \\ { \bf{ ln(a) - ln(b) = ln( \frac{a}{b} ) }}[/tex]
so, in the question:
[tex] ln(x) + ln(y) - ln(z) \\ \\ = \{ ln(xy) - ln(z) \} \\ \\ = ln( \frac{xy}{z} ) [/tex]
The required logarithmic expression is ln(xy/z). Option B is correct.
Given that
To simplify ln x + ln y + ln z
Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in set of y. x is the independent variable while Y is the dependent variable.
A logarithmic function can be defined as the function inverse of the exponential function is a logarithmic function.
In the question, an algebraic expression of the log function is given a simplified form of the expression to be determined using the logarithmic property.
Simplification,
= ln x +ln y + ln z
Since log A + log B = log(A.B)
and log A - logB = log(A/B)
From above properties
= ln (x . y) - ln z
= ln [(x. y )/z]
Thus, the required logarithmic expression is ln(xy/z). Option B is correct.
Learn more about logarithmic function here:
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