What is the limit as x approaches 10 of ln(x^3) ?

The limit as x approaches 10 of ln(x^3) is 3ln(10)

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limit as x approaches 10 of ln(x^3)

x \to 10 lim (ln (x^{3}))

3 ln (10)

Decimal

6.90775 \dots

Solution steps

x \to 10 lim (ln (x^{3}))

Plug in the value

x = 10

= ln (1 0^{3})

Apply log rule

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x),

assuming

x \geq 0

= 3 ln (10)

x \to 1000 lim (ln (x))

x \to - 12 lim (\frac{4 x}{x + 12})

x \to 0 lim (ln (1 + 4 x))

x \to 0 - lim (arccot (\frac{1}{x}))

x \to 0 lim (e^{\frac{1}{2 x}})

What is the limit as x approaches 10 of ln(x^3) ?
The limit as x approaches 10 of ln(x^3) is 3ln(10)