The value of log subscript 6 baseline start fraction 1 over 36 end fraction is -2.
Let x is the unknown value
We have to determine the value of x

<h3>What is the meaning of logarithmic function?</h3>
Logarithmic functions are the inverses of exponential functions, and an exponential function can be expressed in logarithmic form.


We know that,

Therefore by applying the above rule of log we have

Therefore we get

Therefore option 2 is correct.
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Answer:
0.6 miles
Step-by-step explanation:
Given that,
A biking track has a length of 3168 feet (ft).
We need to find the distance in miles.
We know that, 1 mile = 5280 foot
1 feet = (1/5280) mile
Now, we can find the distance in miles by multiplying 3168 by (1/5280).

So, the distance covered is 0.6 miles.
Answer
8
Step-by-step explanation:
8=3+5
Applying the formula for volume of a rectangular prism and volume of a cube, we would have:
a. 6/125 cm³
b. 8/125 cm³
c. 1/125 cm³
d. 36/125 cm³
<h3>What is the
Volume of a Rectangular Prism and a Cube?</h3>
- Volume of rectangular prism = length × width × height.
- Volume of cube = (side length)³
a. Volume of rectangular prism = length × width × height = (1/5) × (2/5) × (3/5)
Volume of rectangular prism = 6/125 cm³
b. Volume of cube = (side length)³ = (2/5)³
Volume of cube = 8/125 cm³
c. Volume of cube = (side length)³ = (1/5)³
Volume of cube = 1/125 cm³
d. Volume of rectangular prism = length × width × height = (3/5) × (4/5) × (3/5)
Volume of rectangular prism = 36/125 cm³
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We know that the 2 triangles are proportional and are similar so that means there must be a scale factor between the sides of the triangles. To find the D, we need to use the scale factor and multiply it by CD to find DE. The scale factor can be found by dividing 2 similar sides so: EF divided by DG is 5/1.25 which is 4. We can then multiply the scale factor which is 4 by CD so: 3.25 * 4 is 13. DE = 13