9514 1404 393
Answer:
f⁻¹(x) = log(x)/log(16)
g⁻¹(x) = (2^x -1)/3
Step-by-step explanation:
In each case, you want to solve ...
x = f(y)
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a. x = 4^(2y)
log(x) = 2y·log(4) . . . . . . . . take logs
y = log(x)/(2·log(4)) . . . . . . .divide by the coefficient of y
f⁻¹(x) = log(x)/log(16) . . . . simplify (4^2 = 16)
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b. x = g(y)
x = log(3y +1)/log(2) . . . . use the change of base relation
x·log(2) = log(3y +1) . . . . multiply by log(2)
2^x = 3y +1 . . . . . . . . . . . take antilogs
2^x -1 = 3y . . . . . . . . . . . subtract 1
y = (2^x -1)/3 . . . . . . . . . . divide by the coefficient of y
g⁻¹(x) = (2^x -1)/3 . . . . . . . . note that "-1" is not part of the exponent of 2
Answer:
10⁴
Step-by-step explanation:
10 is repeated 4 times, so your exponent would be 4 with a base of 10.
Answer:
4.48
Step-by-step explanation:
Answer:
%
Step-by-step explanation:
<em>First, convert 3 meters into centimeters.</em>
1m = 100cm
3m = 100 × 3 = 300cm
<em>Now, form the fraction by putting the given value, 20cm, over the total measurement, 300cm.</em>
= = ⇒ <em>Simplify your fraction to its simplest terms.</em>
<em>Next, multiply your simplified fraction by 100 to get your percentage.</em>
× = = = % ⇒ <em>Simplify your percentage to its simplest terms.</em>
<em>Hope this helped! I would really appreciate it if you would please mark me brainliest!</em>