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Use the properties of logarithms to expand log(zy8).

(By 8, they mean the exponent of 8, or the eighth power.)

Each logarithm should involve only one variable and should not have any exponents. Assume that all variables are positive.

Use the properties of logarithms to expand logzy8 By 8 they mean the exponent of 8 or the eighth power Each logarithm should involve only one variable and shoul class=

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ballen30

Answer:

log (y)+ 8 log (z)

Step-by-step explanation:

use the rules of logarithm

The expanded form of the given function is log (x)+ 8 log (y).

What is a logarithm?

When you raise a number with an exponent, there comes a result.

Let's say you get

a^b = c

Then, you can write 'b' in terms of 'a' and 'c' using a logarithm as follows

[tex]b = \log_a(c)[/tex]

'a' is called base of this log function. We say that 'b' is the logarithm of 'c' to base 'a'

Given;

[tex]log(xy^8)[/tex]

use the rules of the logarithm;

log (x)+ 8 log (y)

Learn more about logarithm here:

https://brainly.com/question/20835449

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