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2 years ago

Solve this equation 4log√x - log 3x =log x^2

Mathematics

1 answer:

ruslelena [56]2 years ago

5 0

Answer:

$x = \frac{1}{3}$

Step-by-step explanation:

*Move terms to the left and set equal to zero:

4㏒(√x) - ㏒(3x) - ㏒(x²) = 0

*simplify each term:

㏒(x²) - ㏒(3x) - ㏒(x²)

㏒(x²÷x²) -㏒(3x)

㏒(x²÷x² / 3x)

*cancel common factor x²:

㏒( $\frac{1}{3x}$ )

*rewrite to solve for x :

10⁰ = $\frac{1}{3x}$

1 = $\frac{1}{3x}$

1 · x = $\frac{1}{3x}$ · x

1x = $\frac{1}{3}$

*that would be our answer, however, the convention is to exclude the "1" in front of variables so we are left with:

x = $\frac{1}{3}$

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2 years ago

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2 years ago

A tire company sends an email survey to all customers who purchase new tires each month. The previous month, 201 people purchase

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Answer:

The population consists of the 201 people who bought tires last month.

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Step-by-step explanation:

In statistical analysis, the population is a set of all values that can be considered for an experiment. It is a set of observations from which a sample is selected. The sample is a subset of the population.

In this case, it is provided that a tire company sends an email survey to all customers who purchase new tires each month.

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So, the sample consists of the 51 people who responded.

5 0

2 years ago

Solve this equation 4log√x - log 3x =log x^2​

Solve this equation 4log√x - log 3x =log x^2