The properties of logarithms can be used to expand the expression log(yz^5). Here are the steps:

1. Apply the product rule: log(ab) = log(a) + log(b). In this case, y and z^5 are the two parts of the product. So, log(yz^5) becomes log(y) + log(z^5).

2. Apply the power rule: log(a^b) = b * log(a). In this case, z is the base and 5 is the exponent. So, log(z^5) becomes 5 * log(z).

3. Combine the results from steps 1 and 2 to get the final expanded form: log(y) + 5 * log(z).

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The properties of logarithms can be used to expand the expression log(yz^5). Here are the steps:

1. Apply the product rule: log(ab) = log(a) + log(b). In this case, y and z^5 are the two parts of the product. So, log(yz^5) becomes log(y) + log(z^5).

2. Apply the power rule: log(a^b) = b * log(a). In this case, z is the base and 5 is the exponent. So, log(z^5) becomes 5 * log(z).

3. Combine the results from steps 1 and 2 to get the final expanded form: log(y) + 5 * log(z).

Knowee AI · Accepted Answer

The properties of logarithms can be used to expand the expression log(yz^5). Here are the steps:

1. Apply the product rule: log(ab) = log(a) + log(b). In this case, y and z^5 are the two parts of the product. So, log(yz^5) becomes log(y) + log(z^5).

2. Apply the power rule: log(a^b) = b * log(a). In this case, z is the base and 5 is the exponent. So, log(z^5) becomes 5 * log(z).

3. Combine the results from steps 1 and 2 to get the final expanded form: log(y) + 5 * log(z).

Use the properties of logarithms to expand logyz5.Each logarithm should involve only one variable and should not have any exponents or fractions.Assume that all variables are positive.

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