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Popular >

simplify log_{2}(243)

Solution

simplify

lo g_{2} (243)

Solution

5 lo g_{2} (3)

+1

Decimal Notation

7.92481 \dots

Solution steps

lo g_{2} (243)

Factor the number:

243 = 3^{5}

= lo g_{2} (3^{5})

Apply log rule:

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

lo g_{2} (3^{5}) = 5 lo g_{2} (3)

= 5 lo g_{2} (3)

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Frequently Asked Questions (FAQ)

What is log_{2}(243) ?
The solution to log_{2}(243) is 5log_{2}(3)