Answer: There would be about 6 or 7 silk fibers per 300 yard length of silk fiber.

The problem states that each thread is made of about 3 to 10 silk fibers. The the problem as for a reasonable estimation of the number of silk fibers. It would be safe to assume that a reasonable estimation would be the average (or mean) of 3 to 10.

(3 + 10) / 2 = 6.5

Since 6.5 is the average, we could use 6 or 7 as a reasonable estimation.

5 0

3 years ago

Which of the following shows the extraneous solution to the logarithmic equation below? log Subscript 3 Baseline (18 x cubed) mi

makvit [3.9K]

The extraneous solution of the logarithmic problem $\rm log_3(18x^3)-log_3(2x) = log_3 144$ is -4.

<h3>What is Logarithm?</h3>

A log function is a way to find how much a number must be raised in order to get the desired number.

$a^c =b$

can be written as

$\rm{log_ab=c$

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

Solving the function using the basic logarithmic value, we get,

$\rm log_3(18x^3)-log_3(2x) = log_3 144\\\\ log_3\dfrac{(18x^3)}{(2x)} = log_3 144\\\\ log_3(9x^2)= log_3 144\\\\\text{Taking antilog}\\9x^2 = 144\\x = \sqrt{\dfrac{144}{9}}$

If we solve further we will get that the value of x can be either -4 or 4, if take the value of x as -4, in the beginning then you will get log₃(18(-4)³) as the log of negative value which is impossible.

Hence, x=-4 is an extraneous solution.

Learn more about Logarithms:

brainly.com/question/7302008

8 0

2 years ago

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