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allsm [11]
2 years ago
15

CAN SOMEBODY HELP?

Mathematics
1 answer:
8_murik_8 [283]2 years ago
6 0

Answer:

Above is answer if right please like

Mark as Brainliest please

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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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<h2>b = 8</h2>

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\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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