What is the limit as x approaches 3 of log_{3}(2x^3) ?

The limit as x approaches 3 of log_{3}(2x^3) is log_{3}(54)

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limit as x approaches 3 of log_{3}(2x^3)

x \to 3 lim (lo g_{3} (2 x^{3}))

lo g_{3} (54)

Decimal Notation

3.63092 \dots

Solution steps

x \to 3 lim (lo g_{3} (2 x^{3}))

Plug in the value

x = 3

= lo g_{3} (2 \cdot 3^{3})

Simplify

= lo g_{3} (54)

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What is the limit as x approaches 3 of log_{3}(2x^3) ?
The limit as x approaches 3 of log_{3}(2x^3) is log_{3}(54)