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Popular >

simplify log_{2}(10^7)

Solution

simplify

lo g_{2} (1 0^{7})

Solution

7 + 7 lo g_{2} (5)

+1

Decimal Notation

23.25349 \dots

Solution steps

lo g_{2} (1 0^{7})

Apply log rule:

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

lo g_{2} (1 0^{7}) = 7 lo g_{2} (10)

= 7 lo g_{2} (10)

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

= 7 (1 + lo g_{2} (5))

Expand

7 (1 + lo g_{2} (5)) : 7 + 7 lo g_{2} (5)

= 7 + 7 lo g_{2} (5)

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Frequently Asked Questions (FAQ)

What is log_{2}(10^7) ?
The solution to log_{2}(10^7) is 7+7log_{2}(5)