Calculus Examples

$\frac{lim_{n \to 8 p} \log (2^{n})}{\log (3^{n})}$

Step 1

Evaluate the limit.

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Step 1.1

Move the limit inside the logarithm.

$\frac{\log (lim_{n \to 8 p} 2^{n})}{\log (3^{n})}$

Step 1.2

Move the limit into the exponent.

$\frac{\log (2^{lim_{n \to 8 p} n})}{\log (3^{n})}$

Step 2

Evaluate the limit of $n$ by plugging in $8 p$ for $n$ .

$\frac{\log (2^{8 p})}{\log (3^{n})}$