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Popular >

simplify log_{2}(94^8)

Solution

simplify

lo g_{2} (9 4^{8})

Solution

8 + 8 lo g_{2} (47)

+1

Decimal Notation

52.43671 \dots

Solution steps

lo g_{2} (9 4^{8})

Apply log rule:

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

lo g_{2} (9 4^{8}) = 8 lo g_{2} (94)

= 8 lo g_{2} (94)

lo g_{2} (94) = 1 + lo g_{2} (47)

= 8 (1 + lo g_{2} (47))

Expand

8 (1 + lo g_{2} (47)) : 8 + 8 lo g_{2} (47)

= 8 + 8 lo g_{2} (47)

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Frequently Asked Questions (FAQ)

What is log_{2}(94^8) ?
The solution to log_{2}(94^8) is 8+8log_{2}(47)