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3 years ago

Log6 24 + log6 3 - log6 2

1 answer:

7 0

$\log_6 24 + \log_6 3 - \log_6 2=\\
\log_6(24\cdot3)- \log_6 2=\\
\log_672-\log_62=\\
\log_6\dfrac{72}{2}=\\
\log_636=\\
2


$

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Answer:

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Step-by-step explanation:

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3 years ago

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Step-by-step explanation:

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3 years ago

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sdas [7]

$\bf \textit{difference of squares}
\\ \quad \\
(a-b)(a+b) = a^2-b^2\qquad \qquad 
a^2-b^2 = (a-b)(a+b)\\\\
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\begin{cases}
x^2+2x-24\implies (x+6)(x-4)\\
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\begin{array}{llll}
\textit{thus our LCD is}\\
(x-6)(x+6)(x-4)
\end{array}
\\\\\\
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3 years ago

A drawing has a scale 1/4 in: 12ft. How long is 8ft?

allochka39001 [22]

If you use a proportion, you'll get:

$\frac{0.25}{12} = \frac{x}{8}$

Then, you use cross products:

$12x=0.25(8) \\ 12x=2$

Then, you algebraically solve x:

$12x=2 \\ \frac{12x}{12} = \frac{2}{12} \\ x= \frac{5}{3}$

The answer is 5/3 inches , or 1 5/13 inches, or 1.6 repeating.

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3 years ago