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Popular >

expand log_{4}(64)

Solution

expand

lo g_{4} (64)

Solution

3

Solution steps

lo g_{4} (64)

Rewrite

64

in power-base form:

64 = 4^{3}

= lo g_{4} (4^{3})

Apply log rule:

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

lo g_{4} (4^{3}) = 3 lo g_{4} (4)

= 3 lo g_{4} (4)

Apply log rule:

lo g_{a} (a) = 1

lo g_{4} (4) = 1

= 3 \cdot 1

Multiply the numbers:

3 \cdot 1 = 3

= 3

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Frequently Asked Questions (FAQ)

What is expand log_{4}(64) ?
The solution to expand log_{4}(64) is 3