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Montano1993 [528]
2 years ago
8

Use the following steps to prove that log b(xy)- log bx+ log by.

Mathematics
1 answer:
borishaifa [10]2 years ago
3 0

Answer with Step-by-step explanation:

a.x=b^p

y=b^q

Taking both sides log

log x=plog b

Using identity:logx^y=ylogx

p=\frac{logx}{log b}=log_b x

Using identity:log_x y=\frac{log y}{log x}

log y=qlog b

q=\frac{log y}{log b}=log_b y

b.xy=b^pb^q

We know that

x^a\cdot x^b=x^{a+b}

Using identity

xy=b^{p+q}

c.log_b(xy)=log_b(b^{p+q})

log_b(xy)=(p+q)log_b b

Substitute the values then we get

log_b(xy)=(log_b x+log_b y)

By using log_b b=1

Hence, log_b(xy)=log_b x+log_b y

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ira [324]
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assuming that the minute hand reaches all the way out to the edge of the clock


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at Mountain Park Middle School there are 250 7th grade students currently 32% of those students are in advanced math​
makkiz [27]

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95

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Explanation:

We calculate  

38

%

of  

250

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x

=

250

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100

x

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25

0

×

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10

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(cancel by 10)

x

=

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25

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2

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(cancel by 5)

x

=

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×

19

38

1

2

           

(cancel by 2)

x

=

5

×

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x

=

95

Step-by-step explanation:

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LA and B are vertical angles. If mZA = then find the value of x. (7x – 27) and m B = (3x + 29)°,
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we know that

Vertical angles are congruent angles

that means

substitute the given values

(7x – 27)=(3x + 29)

solve for x

7x-3x=29+27

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part b)

We know that

Supplementary angles are angles that their sum is equal to 180 degrees

so

A+B=180

substitute the given values

5x+25+x+17=180

solve for x

6x+42=180

6x=180-42

6x=138

x=23

Find the measure of Angle A

4 0
1 year ago
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