Condensing logarithmic expression in exercise, use the properties of logarithms to rewrite the expression as the logarithm of a single quantity. see example 4.
4 in x + 6 in y - in z

We can use three rules to solve this logarithm:

Power rule:

Product rule:

Quotient rule:

Simplify each part of the logarithm:

4 In x → ln(x^4)

6 In y → ln(y^6)

In z → ln(z)

We multiply ln(x^4) and ln(y^6) according to the product rule and we divide it by ln(z) according to the quotient rule.

Therefore, the logarithm as a single quantity is

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