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Popular >

simplify log_{2}(10^6)

Solution

simplify

lo g_{2} (1 0^{6})

Solution

6 + 6 lo g_{2} (5)

+1

Decimal Notation

19.93156 \dots

Solution steps

lo g_{2} (1 0^{6})

Apply log rule:

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

lo g_{2} (1 0^{6}) = 6 lo g_{2} (10)

= 6 lo g_{2} (10)

lo g_{2} (10) = 1 + lo g_{2} (5)

= 6 (1 + lo g_{2} (5))

Expand

6 (1 + lo g_{2} (5)) : 6 + 6 lo g_{2} (5)

= 6 + 6 lo g_{2} (5)

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Frequently Asked Questions (FAQ)

What is log_{2}(10^6) ?
The solution to log_{2}(10^6) is 6+6log_{2}(5)