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ladessa [460]
2 years ago
9

Which expression can be used to approximate the expression below, for all positive numbers a, b, and x, where a Not-equals 1 and

b Not-equals 1? log Subscript x Baseline x StartFraction log Subscript b Baseline x Over log Subscript b Baseline a EndFraction StartFraction log Subscript b Baseline a Over log Subscript b Baseline x EndFraction StartFraction log Subscript a Baseline b Over log Subscript x Baseline b EndFraction StartFraction log Subscript a Baseline x Over log Subscript b Baseline x EndFraction.
Mathematics
1 answer:
defon2 years ago
3 0

The expression that can be used to approximate the expression below islog_a x = \frac{log_{b}a}{log_{b}x}

  • Given the logarithmic function expressed as log_a x, we need the log expression that is equivalent to the given expression.

  • To do this, we will write the logarithm as a quotient to the same base. Using the base of 10, the expression can be written as;

log_a x = \frac{log_{10}a}{log_{10}x}

This is similar to the option c where the base of "b" was used as log_a x = \frac{log_{b}a}{log_{b}x}

Learn more on law of logarithms here: brainly.com/question/11587706

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Mark and Julio are selling flower bulbs for a school fundraiser. Customers can buy bags of windflower bulbs and packages of croc
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Answer:

Bag of windflower bulbs costs $8.50

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Step-by-step explanation:

Let $x be the price of one bag of windflower bulbs and $y be the price of one  package of crocus bulbs.

1. Mark sold 2 bags of windflower bulbs for $2x and 5 packages of crocus bulbs for $5y. In total he earned $(2x+5y) that is $105. So,

2x+5y=105

2. Julio sold 9 bags of windflower bulbs for $9x and 5 packages of crocus bulbs for $5y. In total he earned $(9x+5y) that is $164.50. So,

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3. You get the system of two equations:

\left\{\begin{array}{l}2x+5y=105\\ \\9x+5y=164.50\end{array}\right.

From the first equation

5y=105-2x

Substitute it into the second equation:

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So,

5y=105-2·8.5

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