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laiz [17]
4 years ago
13

1/2(logx4+logxy)-3logxz

Mathematics
1 answer:
Sphinxa [80]4 years ago
3 0
\bf log_{{  a}}(xy)\implies log_{{  a}}(x)+log_{{  a}}(y)
\\ \quad \\
% Logarithm of rationals
log_{{  a}}\left(  \frac{x}{y}\right)\implies log_{{  a}}(x)-log_{{  a}}(y)
\\ \quad \\
% Logarithm of exponentials
log_{{  a}}\left( x^{{  b}} \right)\implies {{  b}}\cdot  log_{{  a}}(x)\qquad 
and\qquad a^{\frac{{ n}}{{ m}}} \implies  \sqrt[{ m}]{a^{ n}}\\\\
-----------------------------\\\\

\bf \cfrac{1}{2}\left[ log_x(4)+log_x(y) \right]-3log_x(z)
\\\\\\
\cfrac{1}{2}\left[ log_x(4\cdot y) \right]-3log_x(z)\implies log_x\left[ (4y)^{\frac{1}{2}} \right]-log_x(z^3)
\\\\\\
log_x\left[ \cfrac{(4y)^{\frac{1}{2}}}{z^3} \right]\implies log_x\left[ \cfrac{\sqrt{4y}}{z^3} \right]
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Cerrena [4.2K]

Answer:

18/2 = 9

45/5= 9

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4 0
4 years ago
Evaluate the expression when y=6 and x = 35.<br> x-3y
vredina [299]

Answer:

17

Step-by-step explanation:

Given: y = 6; x + 35

Step 1: Equation

x - 3y            

Step 2: Substitution    

35 - 3(6)      

Step 3: Solving

35 - 18 = 17

Answer:

17

Hope This Helps :)

4 0
3 years ago
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Find the slope from the following table: x 2 3 4 y 4 5 6
Sindrei [870]

Answer:

the slope is 1

Step-by-step explanation:

The linear equation is y=x+2

7 0
3 years ago
Jim is painting the inside of a circular helicopter pad. How many cans of paint would he need if the pad is 50 feet across and e
djverab [1.8K]
STEP 1:
You need to find the area of the circular pad.

Circle Area= πr^2
we need the radius which is half of the diameter given
=π(50÷2)^2
=(3.14)(25)^2
=(3.14)(625)
=1,963.495 ft^2 total area

STEP 2:
Find how much paint is needed by dividing a can's coverage into what's needed.

=1963.495 ÷ 200
=9.817
=10 cans are needed (because you cannot buy a part of a can, you need to round up)

ANSWER: 10 cans are needed

Hope this helps! :)
5 0
3 years ago
Using substitution, which value of x makes this equation true?<br><br> 3+x = 10
Firdavs [7]

Answer:

7

Step-by-step explanation:

3 0
3 years ago
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