Write each expression as an equivalent expression with a single logarithm. assume xx, yy, and zz are positive real
numbers.
ln(x) + 2 ln(y) − 3 ln(z)

Step-by-step explanation:

Data provided:

ln(x) + 2 ln(y) − 3 ln(z)

Now,

From the properties of log function,

ln(A) + ln(B) = ln(AB)

n × ln(x) = ln(xⁿ)

and,

ln(A) - ln(B) =

applying the properties in the given equation

we get

⇒  ln(x) + 2 ln(y)  − 3 ln(z)

or

⇒ ln(x) + ln(y²) - ln(z³)            (using n × ln(x) = ln(xⁿ))

or

⇒ ln(xy²) - ln(z³)                    (using ln(A) + ln(B) = ln(AB) )

or

⇒   (using ln(A) - ln(B) = )

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