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Properties of Logarithms

Question 3 • FL-1200330-Algebra 2 CR

The equation ey = 2x is equivalent to y = ln 2y = In x y = ln 2x.

Answer
A
y = ln 2
B
y = In x
C
y = ln 2x

Explanation

Interpreting “ey” as e^y, take the natural logarithm of both sides of e^y = 2x. Since ln(e^y) = y, this gives y = ln(2x), which matches choice C, “y = ln 2x.”

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