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Write the expression as a single natural logarithm.

2 ln a – 4 ln y

Sagot :

Answer:  [tex]\ln\left(\frac{a^2}{y^4}\right)[/tex]

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Explanation:

I'll be using these log rules

  • Blog(A) = log(A^B)
  • log(A) - log(B) = log(A/B)

which I'll refer to as "rule 1" and "rule 2" respectively. There are other log rules, but we only need to use these two for this particular question.

Here's how the steps could be laid out:

[tex]2\ln\left(a\right)-4\ln\left(y\right)\\\\\ln\left(a^2\right)-\ln\left(y^4\right) \ \text{ ... use rule 1}\\\\\ln\left(\frac{a^2}{y^4}\right) \ \text{ ... use rule 2}\\\\[/tex]

Side note: The first letter of "ln" is a lowercase L, and not an uppercase i

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