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Kryger [21]
3 years ago
13

Which logarithmic equation is equivalent to the exponential equation below? 9^x = 27

Mathematics
1 answer:
matrenka [14]3 years ago
7 0

Answer:

x = 3/2

Step-by-step explanation:

9^x = 27 base equation

9^x = 3^3 convert 27 to exponential

3^(2x) = 3^3 convert 9^x to the same base number

2x = 3 drop the bases and compare exponents

x= 3/2 answer

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Answer:

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3 years ago
In​ Marissa's calculus​ course, attendance counts for 15​% of the​ grade, quizzes count for 20​% of the​ grade, exams count for
Alexandra [31]

Answer:

Her average was 87.35% on this course.

Step-by-step explanation:

In order to determine Marissa's average we need to take the average she has on each of the cattegories and find how much that relates to the weight of the  cattegory on the final grade. We have:

Attendance counts for 15% of the grade and she has 100% average on that. So we have:

attendance = weight*(Marissa's average)

attendance = 15%*(100/100) = 15%

Quizzes counts for 20% of the grade and she has a 93% average on that. So we have:

Quizzes = weigth*(Marissa's average)

Quizzes = 20%*(93/100) = 18.6 %

Exams counts for 50% of the grade and she has a 82% average on that. So we have:

Exams = weigth*(Marissa's average)

Exams = 50%*(82/100) = 41%

The final exam counts for 15% of the grade and she has a average of 85% on that so we have:

Finals = 15%*(85/100) = 12.75%

So her grade is the sum of all the cattegories:

Course's average = 15+18.6+41+12.75 = 87.35 %

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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