Can anybody help me with this? Algebra 1
1 answer:
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Answer:
2 : 3
Step-by-step explanation:
A disc has a diameter of 21 cm while a mini disc has a diameter of 14cm. Write the ratio of the mini disc diameter to the disc diameter.
Answer: Let the diameter of the mini disc be while the diameter of the disc be
. To get the ratio of the mini disc diameter to the disc diameter, we just simply have to divide the diameter of the mini disc by the diameter of the disc and then represent the fraction in ratio form. The ratio of the disc diameters is given by:
Ratio of the mini disc diameter to the disc diameter = Diameter of mini disc / diameter of disc
Ratio of the mini disc diameter to the disc diameter =
Ratio of the mini disc diameter to the disc diameter = 2 : 3
Answer:
Step-by-step explanation:
This is an exponential equation that is solved by taking the natural log of both sides. The equation is
If we are looking for x when f(x) = 64, then
Take the natural log of both sides:
The rules of logs allows us to bring the x down in front:
Divide both sides by ln(2) to get:
Do this on your calculator to get that x = 6.
You could also have just gone right to your calculator and started raising 2 to consecutive powers starting at like 3 or 4 to eventually get that 2 to the 6th power is equal to 64, but for the basics of solving log equations, you need to know how to do this.