Math question down below

Without exponents logc (xy^6z^-4) what is the equivalent expression

Sever21 [200]

By eliminating exponents, the logarithmic expression $\log_{c} x\cdot y^{6}\cdot z^{-4}$ is equivalent to the logarithmic expression $\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z$ .

<h3>How to simplify logarithmic functions</h3>

In this problem we are supposed to eliminate all exponents of a logarithmic function by applying any of the following properties:

㏒ x · y = ㏒ x + ㏒ y
㏒ x/y = ㏒ x - ㏒ y
㏒ yˣ = x · ㏒ y

Now, we proceed to simplify the function:

$\log_{c} x\cdot y^{6}\cdot z^{-4}$

$\log_{c} x + \log_{c} y^{6} + \log_{c} z^{-4}$

$\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z$

By eliminating exponents, the logarithmic expression $\log_{c} x\cdot y^{6}\cdot z^{-4}$ is equivalent to the logarithmic expression $\log_{c} x + 6\cdot \log_{c} y - 4\cdot \log_{c} z$ .

To learn more on logarithms: brainly.com/question/24211708

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PLEASE HELP ME!!!! This is homework and I need help with this.Please be kindhearted and answer this for me. Try your best and sh

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