<img src="https://tex.z-dn.net/?f=y%20%3D%204%287%29%20%7B7%7D%5E%7Bx%7D%20" id="TexFormula1" title="y = 4(7) {7}^{x} " alt="y =

mafiozo [28]

3 years ago

4(7) {7}^{x} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

jeyben [28]3 years ago

8 0

Answer:

Step-by-step explanation:

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Let log_(b)A=3; log_(b)C=2; log_(b)D=5 what is the value of log_(b)((A^(5)C^(2))/(D^(6)))

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Answer:

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Step-by-step explanation:

Given

$\log_bA=3\\ \\\log_bC=2\\ \\\log_bD=5$

Use properties:

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Thus,

$\log_b\dfrac{A^5\cdot C^2}{D^6}\\ \\=\log_b(A^5\cdot C^2)-\log_bD^6\\ \\=\log_bA^5+\log_bC^2-\log_bD^6\\ \\=5\log_bA+2\log_bC-6\log_bD\\ \\=5\cdot 3+2\cdot 2-6\cdot 5\\ \\=15+4-30\\ \\=-11$

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