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trasher [3.6K]
2 years ago
9

1.What is the value of log3 729?

Mathematics
2 answers:
xxMikexx [17]2 years ago
3 0
I believe the value of log3 729 is 6

Vinil7 [7]2 years ago
3 0

Answer:

6

Step-by-step explanation:

Rewrite -  log 3  ( 729 )  =  x   in exponential form using the definition of a logarithm. If  x and b are positive and real numbers and b does not equal 1, then  log b  ( x )  =  y  is equivalent to   b^{y}    = x  .

3  x  =  729

Create equivalent expressions in the equation that all have equal bases.

3^{x} = {3^6}

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

x  =  6

The variable x  is equal to  6

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if m is the least prime number and n is the least positive integer multiple of 12, what is the difference between n and m
ElenaW [278]

Answer:

10

Step-by-step explanation:

m = least prime number = 2

n = least positive integer multiple of 12 = 12

n - m = 12 - 2 = 10

8 0
3 years ago
Read 2 more answers
Suppose a normal distribution has a mean of 98 and a standard deviation of 6. What is P(x< or = to 110)
dem82 [27]

Answer:

97.8%

Step-by-step explanation:

110 is 2 standard deviations above the mean (6+6 = 12)

12+98 = 110

Looking at the standard deviation curve

P(x< or = to 110)  = 1 - P(x>110)

We can find the probability that x>100 by adding  anything above 2 standard deviations above the curve.

P(x>110) = 2.1+.1 = 2.2%

P(x< or = to 110)  = 1 - P(x>110)

                                = 1- 2.2%

                                = 1- .022

                                  = .978

                               = 97.8 %

4 0
3 years ago
How do you multiply these polynomials?<br><br> 3xy^2(2y+4z)
nikitadnepr [17]

Answer:

6xy^3 +12xy^2 z

Step-by-step explanation:

3xy^2 (2y+4z)

Multiply

3xy^2 * 2y + 3xy^2 *4z

common factors

3xy^3 +3xy^2 *4z

Multiply

6xy^3 +12xy^2 z

7 0
3 years ago
What is the solution of the system y=-3x 3x+2y=6
irinina [24]
I like to solve these by graphing, so if you graph both of these functions (as shown in the picture below), you look for the intersection between the two graphs, which in this case is (-2,6).


7 0
3 years ago
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(100 POINTS) Question 2: 6 pts
vfiekz [6]

Answer:

1 and -3

Step-by-step explanation:

The zeros of a quadratic function are the points on the graph where the curve intercepts the x-axis (where y = 0).

From inspection of the attached graph, we can see that the curve intercepts the x-axis at x = -3 and x = 1.

6 0
2 years ago
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