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Popular >

expand log_{8}(512^8)

Solution

expand

lo g_{8} (51 2^{8})

Solution

24

Solution steps

lo g_{8} (51 2^{8})

Apply log rule:

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

lo g_{8} (51 2^{8}) = 8 lo g_{8} (512)

= 8 lo g_{8} (512)

Simplify

lo g_{8} (512) : 3

= 8 \cdot 3

Multiply the numbers:

8 \cdot 3 = 24

= 24

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Frequently Asked Questions (FAQ)

What is expand log_{8}(512^8) ?
The solution to expand log_{8}(512^8) is 24