Simplify 5 log2 k − 8 log2 m + 10 log2 n. a. 7 log2 (k − m + n) b. 7 log2 kn over m c. log2 50 kn over 8 m d. log2 k to the fifth power n to the tenth power/ m to the eighth power
The numerical coefficients of the logarithm are originally, the exponents of the variables. Such that, log₂k⁵ - log₂m⁸ + log₂n¹⁰ Then the addition means we multiply them and subtraction means divide. The final answer would be, log (k⁵n¹⁰/m⁸)
The first week samantha learned to read braille, she could read 10 words per minute. in the second week she increased her speed by 20%. in the third week she increased her speed again by another 25%. how many words could she read per minute by the third week? hurry and tell me!
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). suppose your car averages 33 miles per gallon on the highway if your average speed is 54 miles per hour, and it averages 22 miles per gallon on the highway if your average speed is 75 miles per hour. answer parts (a) and (b) below. a. what is the driving time for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the driving time at 75 miles per hour? the driving time at 54 miles per hour is nothing hours. (type an integer or decimal rounded to two decimal places as needed.) the driving time is at 75 miles per hour is nothing hours. (round to two decimal places as needed.) b. assume a gasoline price of $3.33 per gallon. what is the gasoline cost for a 2000-mile trip if you drive at an average speed of 54 miles per hour? what is the gasoline cost at 75 miles per hour? the gasoline cost at 54 miles per hour is $ nothing. (round to two decimal places as needed.) the gasoline cost at 75 miles per hour is $ nothing. (round to two decimal places as needed.)
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