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Popular >

expand log_{2}(9^5)

Solution

expand

lo g_{2} (9^{5})

Solution

10 lo g_{2} (3)

+1

Decimal Notation

15.84962 \dots

Solution steps

lo g_{2} (9^{5})

Apply log rule:

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

lo g_{2} (9^{5}) = 5 lo g_{2} (9)

= 5 lo g_{2} (9)

Simplify

lo g_{2} (9) : 2 lo g_{2} (3)

= 5 \cdot 2 lo g_{2} (3)

Multiply the numbers:

5 \cdot 2 = 10

= 10 lo g_{2} (3)

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Frequently Asked Questions (FAQ)

What is expand log_{2}(9^5) ?
The solution to expand log_{2}(9^5) is 10log_{2}(3)