Question

Write the expression as a sum and/or difference of logarithms, with all variables to the first degree.

ln√6w³z⁵

Answer 1

The expression ln(√6w³z⁵) can be written as a sum of logarithms: ln(√6) + ln(w³) + ln(z⁵).

Step-by-step explanation:

The expression ln(√6w³z⁵) can be written as a sum of logarithms using the properties of logarithms. Using the property that the logarithm of a product is equal to the sum of the logarithms of the factors, we can write:

`ln(√6w³z⁵) = ln(√6) + ln(w³) + ln(z⁵)`

Now, using the property that the logarithm of a power is equal to the exponent multiplied by the logarithm of the base, we can simplify further:

ln(√6w³z⁵) = ½ ln(6) + 3 ln(w) + 5 ln(z)