Counting by 10 is called base 10
Answer:
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The conversion of feet to meters is obtained by multiplying 1 foot = 0.3048 meters.
<h3>What are the basic measurements for length?</h3>
Foot, inches, centimeters, and meters are the basic measuring units for length.
<h3>What are the basic conversions?</h3>
The basic conversions are:
1 kilometer = 1000 meters
1 meter = 100 cm
1 cm = 10 mm
1 mm = 0.03937 inch
1 inch = 0.0833 feet.
<h3>How to convert feet to meters?</h3>
According to the international system of units,
1 foot = 12 inches ...(1)
But we know,
1 inch = 25.4 mm, 1 mm = 0.1 cm, and 1 cm = 0.01 m
By substituting all of these in equation (1), we get
1 foot = 12(25.4 mm)
= 304.8 mm
= 304.8 (0.1 cm)
= 30.48 cm
= 30.48(0.01 m)
= 0.3048 meters
Therefore, 1 foot = 0.3048 meters.
Learn more about converting measuring units here:
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Answer:
The solution is x = e⁶
Step-by-step explanation:
Hi there!
First, let´s write the equation
ln(x⁶) = 36
Apply logarithm property: ln(xᵃ) = a ln(x)
6 ln(x) = 36
Divide both sides of the equation by 6
ln(x) = 6
Apply e to both sides
e^(ln(x)) = e⁶
x = e⁶
The solution is x = e⁶
Let´s prove why e^(ln(x)) = x
Let´s consider this function:
y = e^(ln(x))
Apply ln to both sides of the equation
ln(y) = ln(e^(ln(x)))
Apply logarithm property: ln(xᵃ) = a ln(x)
ln(y) = ln(x) · ln(e) (ln(e) = 1)
ln(y) = ln(x)
Apply logarithm equality rule: if ln(a) = ln(b) then, a = b
y = x
Since y = e^(ln(x)), then x =e^(ln(x))
Have a nice day!
