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  • 29-12-2023
  • Mathematics
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If log x = 2 log y - log z, what is an expression for x?

If log x 2 log y log z what is an expression for x class=

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MrScience321 MrScience321
  • 29-12-2023

Answer: C) y^2/z

Step-by-step explanation:

Use the log law: a * log(b) = log(b^a)

In this case 2 log(y) will become log(y^2).

The equation is now log(x) = log(y^2) - log(z).

The difference of two logs is the log of the quotient (log(a) - log(b) = log(a/b).

Therefore, log(x) = log(y^2/z)

Cancelling the log on both sides, x is equal to [tex]\frac{y^2}{z}[/tex]

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