HELP PLS Which expression is equivalent to ( log 9 + 1/2 log x + log (x cubed + 4) - log 6?
1 answer:
Answer:
log [ (3/2) * * (
+ 4) ] = ( log 9 + 1/2 log x + log (x cubed + 4) - log 6 )
Step-by-step explanation:
I do not see answer choices, but I will simplify this expression.
( log 9 + 1/2 log x + log (x cubed + 4) - log 6 )
= log 9 - log 6 + 1/2 log x + log (x cubed + 4)
= log (9/6) + 1/2 log x + log (x cubed + 4),
I simply used the Quotient Rule for Logs
= log (9/6) + 1/2 log x + log (x cubed + 4),
= log (3/2) + 1/2 log x + log (x cubed + 4),
= log (3/2) + log x^(1/2) + log (x cubed + 4),
Power Rule for logs
= log (3/2) + log x^(1/2) + log (x cubed + 4),
= log ( (3/2)* x^(1/2) * (x cubed + 4) )
Applying Product Rule for Logs
= log ( (3/2)* x^(1/2) * (x cubed + 4) )
= log [ (3/2) * * (
+ 4) ]
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<u>Given</u>:
A rhino runs at a speed of about 28 miles per hour.
We need to determine the speed in feet per second.
<u>Converting miles to feet:</u>
The miles can be converted to feet by multiplying 5280 with 28 miles per hour.
Thus, we have;
Thus, the speed of the rhino in feet per hour is 147840
<u>Converting hours to seconds:</u>
The hours can be converted into seconds by dividing 147840 by 3600 (Because an hour has 60 seconds in a minute and 60 minutes in an hour)
Thus, we get;
Rounding off to the nearest whole number, we get;
Therefore, the speed of the rhino is 41 feet per second.
Hence, Option B is the correct answer.