Two cities are located in the xy-plane at the points A(3,8) and B(6,3). A company wishes to place a factory on a road between the cities at A and B. It is determined
that the company can make the most money if it places the factory exactly halfway
between A and B. However, due to environmental hazards produced by the factory,
it is safe for the people living in A and B only if the factory is located exactly 2/3
of the distance from A going toward B. Find the coordinates of the point where the
factory should be placed to ensure the most ethical outcome. Explain your decision.

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

answer: when you burn wood, the carbon reacts with the oxygen in the air to create ash and smoke. that is a permanent change you cannot undo that.

step-by-step explanation:

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

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