What is log_{2sqrt(2)}(64) ?

The solution to log_{2sqrt(2)}(64) is 6log_{2sqrt(2)}(2)

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simplify log_{2sqrt(2)}(64)

simplify

lo g_{22} (64)

6 lo g_{22} (2)

Solution steps

lo g_{22} (64)

Factor the number:

64 = 2^{6}

= lo g_{22} (2^{6})

Apply log rule:

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

lo g_{22} (2^{6}) = 6 lo g_{22} (2)

= 6 lo g_{22} (2)

f (x) - 1

27 c^{9} + 216

3 x y^{2} (2 x + y - 1)

\frac{i ^{937}}{1 + i}

9 \frac{7}{8}

What is log_{2sqrt(2)}(64) ?
The solution to log_{2sqrt(2)}(64) is 6log_{2sqrt(2)}(2)