<h3>Answer: Choice C</h3>
RootIndex 12 StartRoot 8 EndRoot Superscript x
12th root of 8^x = (12th root of 8)^x
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Explanation:
The general rule is
so any nth root is the same as having a fractional exponent 1/n.
Using that rule we can say the cube root of 8 is equivalent to 8^(1/3)
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Raising this to the power of (1/4)x will have us multiply the exponents of 1/3 and (1/4)x like so
(1/3)*(1/4)x = (1/12)x
In other words,
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From here, we rewrite the fractional exponent 1/12 as a 12th root. which leads us to this
(0,0) i used desmos calculator to plug in your numbers and seems to intersect there.
Revenue: 2x² + 17x - 175
Cost: 2x² - 3x - 125
Profit: 20x - 50
Profit = Revenue - Cost
Profit = 2x² + 17x - 175 - (2x² - 3x - 125)
Profit = 2x² - 2x² + 17x + 3x - 175 + 125
Profit = 20x - 50
x = 75
profit = 20(75) - 50
profit = 1500 - 50
profit = 1450
Log3x - log13 = 2
This is to base 10, because the base was not specified.
log A - log B = log(A/B) law of logarithm
log(3x/13) = 2
By law of logarithm, conversion from logarithm to indices
(3x/13) = 10²
3x/13 = 100
3x = 100*13
x = 1300/3
x = 1300/3 = 433 1/3
Answer:
The first one is TRUE.
You would convert the 1/2 into 4/8 to compare them and you will see that 3/8 is less than 4/8 or 1/2