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RoseWind [281]
3 years ago
10

PLZ HELP! I WILL GIVE BRAINLIEST! Factor 400 completely. Write all prime factors in order and use the 'power' notation.

Mathematics
1 answer:
ioda3 years ago
3 0

Answer:

400= 2 x 2 x 2 x 2 x 5 x 5 = 2/4 x 5/2

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WILL MARK AS BRAINLIEST!!!!! PLZ HELP!!!!!
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3 = logb(512)<br><img src="https://tex.z-dn.net/?f=%20log_%7Bb%7D%28512%29%20" id="TexFormula1" title=" log_{b}(512) " alt=" log
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Answer:

<h2>b = 8</h2>

Step-by-step explanation:

\text{Use}\ \log_ab=c\iff a^c=b,\ \text{for}\ a>0,\ b>0\ \wedge\ a\neq1\\\\Domain:b>0\ \wedge\ b\neq1\\\\\log_b(512)=3\iff b^3=512\to b=\sqrt[3]{512}\\\\\begin{array}{c|c}512&2\\256&2\\128&2\\64&2\\32&2\\16&2\\8&2\\4&2\\2&2\\1\end{array}\\\\512=2^9=2^{3\cdot3}=(2^3)^3=8^3\\\\\text{Therefore}\ b=\sqrt[3]{512}=\sqrt[3]{8^3}=8\in D

\text{Used:}\\\\(a^n)^m=a^{nm}\\\\\sqrt[n]{a^n}=a

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3 years ago
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4 years ago
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