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Answer:
Step-by-step explanation:
To write the expression as a single logarithm, or condense it, use the properties of logarithms.
1) The power property of logarithms states that . In other words, the exponent within a logarithm can be brought out in front so it's multiplied by the logarithm. This means that the number in front of the logarithm can also be brought inside the logarithm as an exponent.
So, in this case, we can move the 3 and the 4 inside the logarithms as exponents. Apply this property as seen below:
2) The product property of logarithms states that . In other words, the logarithm of a product is equal to the sum of the logarithms of its factors. So, in this case, write the expression as a single logarithm by taking the log (keep the same base) of the product of
and
. Apply the property as seen below and find the final answer.
So, the answer is .
Let
x-------> the time
y-------> the altitude of a helicopter
Step 1
<u>Find the slope of the line</u>
we know that
the slope m of the line between two points is equal to
we have
substitute in the formula
therefore
<u>the answer is the option </u>
The slope is . This means that the helicopter descends
ft each minute.
The length of the toy tractor is 3.125ft
Data Given;
- length = 25ft
- ratio = 1:8
To solve this question, we need to find the length of the tractor using ratios.
<h3>What is Ratio</h3>This is the proportion of a substance to the entire value of that substance.
If the length of the tractor is 25 ft, then the length of the toy tractor can be found when we divide 25 by 8.
The length of the toy tractor is 3.125ft.
Learn more on ratio here;