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Popular >

simplify 8^{2log_{8}(3)}

Solution

simplify

8^{2 l o g_{8} (3)}

Solution

9

Solution steps

8^{2 l o g_{8} (3)}

Apply exponent rule:

a^{b c} = (a^{b})^{c}, a \geq 0

8^{2 l o g_{8} (3)} = (8^{l o g_{8} (3)})^{2}

= (8^{l o g_{8} (3)})^{2}

Apply log rule:

a^{l o g_{a} (b)} = b

8^{l o g_{8} (3)} = 3

= 3^{2}

3^{2} = 9

= 9

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Frequently Asked Questions (FAQ)

What is 8^{2log_{8}(3)} ?
The solution to 8^{2log_{8}(3)} is 9