What is log_{2sqrt(3)}(20736) ?

The solution to log_{2sqrt(3)}(20736) is 4log_{2sqrt(3)}(12)

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simplify log_{2sqrt(3)}(20736)

simplify

lo g_{23} (20736)

4 lo g_{23} (12)

Decimal Notation

8

Solution steps

lo g_{23} (20736)

Factor the number:

20736 = 1 2^{4}

= lo g_{23} (1 2^{4})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{23} (1 2^{4}) = 4 lo g_{23} (12)

= 4 lo g_{23} (12)

4 \cdot 35

\frac{4 x ^{4} y ^{4}}{12 x ^{5} y}

5 \frac{5}{8} - 3 \frac{1}{3}

(1 + 0.01)^{\frac{1}{0.01}}

- 2 \cdot (- 9)

What is log_{2sqrt(3)}(20736) ?
The solution to log_{2sqrt(3)}(20736) is 4log_{2sqrt(3)}(12)