The combined height of one fur tree and one pine tree is 21 meters. The higher of 4 fir trees stacked on top of each other is 24 meters taller that the one pine tree. How tall are the types of trees that Logan genetically engineered?

Fur tree = 6 meters, pine tree = 15 meters

Step-by-step explanation:

Lets say the height of one fur tree is x

the height of one pine tree is y

so x+y=21 and 4x=24

x = 6

y = 15

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

answer: b

step-by-step explanation: