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SOLVE: High school precal

SOLVE: High school precal-example-1

2 Answers

2 votes
Tbh idk I just need help passing a class
User Tural Asgarov
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Answer:

The anser is
ln(64y^2)

Explanation:

  • There are two logarithm properties one should take into account to understand that
    2ln8+2lny and
    ln(64y^2) are equal expressions.
  • The first property refeers to exponentials:
    ln(x^n)=n*{lnx}.
  • The second property is the follow:
    ln(x.y)=ln(x)+ln(y) (distributive property of the logarithm of a product).
  • Applying these two properties to the expression
    ln(64y^2)
    results as follows:

  1. ln(68y^2)=ln(8y)^2 because
    8*8=64. Then, applying the first property means that
    ln(8y)^2=2*{ln(8y)}
  2. Finally, applying the second property of logarithms to the logarithm of a product implies:
    2*{ln(8y)}=2*[ln(8)+ln(y)]= 2*{ln(8)}+2*{ln(y)}, which is the expression we needed to arrive.
User Orion Elenzil
by
8.0k points
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