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lys-0071 [83]
1 year ago
13

O EXPONENTIAL AND LOGARITHMIC FUNCTIONSExpanding a logarithmic expression: Problem type 1

Mathematics
1 answer:
Ira Lisetskai [31]1 year ago
8 0

Given:

a logarithm is given as

log(z^5x)

Find:

we have to expand the given logarithm expressionusing properties of logarithm.

Explanation:

we know from the properties of logarithm that

\begin{gathered} log(m^n)=nlog(m) \\ and \\ log(mn)=log(m)+log(n) \end{gathered}

we will use above properties to expand the given logarithm expression as follows

log(z^5x)=logz^5+logx=5logz+logx

Therefore, the expansion of the given logarithm is 5 log(z)+ log(x)

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True or false, f(x) is a function
Schach [20]

Answer:

False, since x values cannot have more than one y value.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
How do you multiply a mixed fraction by a regular fraction
Dmitriy789 [7]

Well, you first have to make the mixed fraction into an improper fraction. You then multiply the two fractions and ad the whole number into the total.

That's how i was taught back in the 4th grade... i'm not sure if it's correct but i hope it is-

3 0
3 years ago
Write the equation of the line with a<br> slope of -2 and passes through (4, -1).
MArishka [77]

Answer:

Step-by-step explanation:

y=mx+b

y= -2x + 3\frac{1}{2}

hope this helped :)

7 0
3 years ago
Can someone help me with this?
forsale [732]

Answer:

36 ft.

Step-by-step explanation:

The given perimeter of triangle EDF is 12, in which the hypotenuse is 5. This means that it is a 3-4-5 triangle, meaning that ED = 3, DF = 4, EF = 5.

It is given that BC (the other triangle's hypotenuse) is 15. This means that the left triangle is to the scale factor of 3 of triangle EDF. Therefore, multiply 3 to all sides measurements, and then add all the sides to get the perimeter.

Hypotenuse: 5 x 3 = 15

Leg 1: 4 x 3 = 12

Leg 2: 3 x 3 = 9

Perimeter: 15 + 12 + 9 = 36

36 ft. is your answer.

8 0
2 years ago
One member of the debate team is going to be chosen president. each member is equally likely to be chosen. the probability that
inessss [21]
Let
x-------> <span>the probability that a boy is chosen
B------> </span>number of boys in the debate team
G------> number of girls in the debate team<span>

we know that
B+G=20-----> G=20-B-----> equation 1
</span>probability that a boy is chosen=number of boys in the debate team/total of people
so
x=B/20-------> equation 2

t<span>he probability that a girl is chosen is 2/3 the probability that a boy is chosen
</span>probability that a girl is chosen=(2/3)*x
probability that a girl is chosen=G/20
(2/3)*x=G/20-----> equation 3
substitute equation 1 in equation 3
(2/3)*x=[20-B]/20----> equation 4

resolve the equations system
x=B/20
(2/3)*x=[20-B]/20

using a graph tool
see the attached figure
the solution is
x=0.6
B=12
G=20-12-----> G=8

number of boys in the debate team is 12
number of girls in the debate team is 8
the probability that a boy is chosen is 0.6 ----> 60%
the probability that a girl is chosen is 0.6*(2/3)----> 0.4---> 40%

the answer is
number of girls in the debate team is 8

7 0
3 years ago
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