Answer:
62 m
Step-by-step explanation:
let the height of tower=x
then
What is the value for "m" that makes the equation true?
1 answer:
You might be interested in
Answer:
Height of an oak tree= 9 meters
Height of a pine tree = 12 meters
Step-by-step explanation:
Given:
The combined height of 1 oak tree and 1 pine tree = 21 meters
Height of 4 oak trees = 24 meters more than 1 pine tree
To find the height of 1 pine tree and height of one oak tree.
Solution:
Let the height of one oak tree be = meters.
Let height of one pine tree = meters.
Combined height can be given as :
-------------[1]
Height of 4 oak trees = 24 meters more than 1 pine tree
The above statement can be given as :
------------[2]
Rearranging equation [2] by subtracting both sides by .
-------------[2]
Adding rearranged equation [2] to [1].
+--------------------
Dividing both sides by 5.
∴
Plugging in in equation [1]
Subtracting both sides by 9.
Height of an oak tree= 9 meters
Height of a pine tree = 12 meters
In each case, you can start by taking the antilog.
21. x = 4^(3/2)
x = 8
22. 81 = x^(4/3)
81^(3/4) = x = 27
24. 2x - 3 = 6^0
2x = 4 . . . . . add 3
x = 2
25. 5 - x = 16^(1/2)
5 - 4 = x = 1
_____
You're using the relationship of logarithms:
21. x = 4^(3/2)
x = 8
22. 81 = x^(4/3)
81^(3/4) = x = 27
24. 2x - 3 = 6^0
2x = 4 . . . . . add 3
x = 2
25. 5 - x = 16^(1/2)
5 - 4 = x = 1
_____
You're using the relationship of logarithms: