Write the expression below so that only a single logarithm or exponential function appears.. (1/2)ln(z) − ln(5 + x) − 4 ln(y)

The answer is:

Step-by-step explanation:

In order to determine the answer, we have to know about the properties of the logarithmic.

For this case, we need three properties. It is very important that these properties assume that the base of the logarithmic is the same. In this case we have the base "e" (euler number).

Applying these properties:

Finally, the expression is:

- 2 + 10x³ - 21x² + 19x - 4

step-by-step explanation:

each term in the second factor is multiplied by each term in the first factor

x²(- 2x² + 4x - 1) - 3x(- 2x² + 4x - 1) + 4(- 2x² + 4x - 1) ← distribute

= - 2 + 4x³ - x² + 6x³ - 12x² + 3x -8x² + 16x - 4

collect like terms

= - 2 + 10x³ - 21x² + 19x - 4 ← in standard form

use this formula:

p(a\b) = p(a and b)/p(b).

take it from here.