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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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the sum of three times one number, x, and five times a second number,y, is 77. if the sum of the two numbers is 19, find the two
HACTEHA [7]

Answer:

x=9, y=10. (9, 10). The two numbers are 9 and 10.

Step-by-step explanation:

3x+5y=77

x+y=19

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3x+5y=77

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3x+5y=77

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3 years ago
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alekssr [168]

Answer:

The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

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Step-by-step explanation:

We are given the function: -2(bx-5)=16

First we need to find

The value of x in terms of b

We need to find value of x

-2(bx-5)=16

Multiply -2 with terms inside the bracket

-2bx+10=16

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-2bx+10-10=16-10\\-2bx=6

Divide both sides by -2b

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So, The value of x in terms of b is: \mathbf{x=-\frac{6}{2b}}

The value of x when b is 3

We have the equation for the value of x in terms of b:

\mathbf{x=-\frac{6}{2b}}

Put b = 3

x=-\frac{6}{2(3)}\\x=-\frac{6}{6}\\x=-1

So, The value of x when b is 3 is: x = -1

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Step-by-step explanation:

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