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Apply the distributive property to factor out the greatest common factor.

21 e+35=

Apply the distributive property to factor out the greatest common factor. $\newline$ $21 e+35=$

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Solve logarithmic equations with multiple logarithms

Full solution

Q. Apply the distributive property to factor out the greatest common factor.

\newline

21 e+35=

Identify GCF of coefficients: Identify the greatest common factor (GCF) of the coefficients $21$ and $35$ . $\newline$ The factors of $21$ are $1$ , $3$ , $7$ , and $21$ . The factors of $35$ are $1$ , $5$ , $7$ , and $35$ . The greatest common factor is $7$ .
Factor out GCF from expression: Factor out the GCF from the expression $21e + 35$ . $\newline$ Using the distributive property, we factor out $7$ from each term. $\newline$ $7(3e) + 7(5) = 7(3e + 5)$
Check factored expression: Check the factored expression to ensure it is equivalent to the original expression. $\newline$ Multiplying the GCF back into the factored expression should give us the original expression. $\newline$ $7(3e + 5) = 21e + 35$

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