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SAT® Subject Test in Math 1 & 2

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Difficult

Rewriting Logarithmic Expression

SATSTM-1RMO4E

If $x > 0$ and $y > 0$, then $\log_{x^{2}}{y}=$

I. $\log_{x}{{y}^{2}}$

II. $\log_{x}{\sqrt{y}}$

III. $\log_{x}{\cfrac{y}{2}}$

A

$\text{I only}$

B

$\text{II only}$

C

$\text{III only}$

D

$\text{I and II only}$

E

$\text{II and III only}$