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svetoff [14.1K]
2 years ago
6

Consider the equation below. Log Subscript 4 Baseline (x 3) = log Subscript 2 Baseline (2 x) Which system of equations can repre

sent the equation?.
Mathematics
1 answer:
swat322 years ago
6 0

Equal expressions can be taken equal to an another variable. The system of equations representing the equation is  y = x + 3\\y = 4x + 8

<h3>What is logarithm and some of its useful properties?</h3>

When you raise a number with an exponent, there comes a result.

Lets say you get

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

Some properties of logarithm are:

log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(b^c) = c \times log_a(b)\\\\log_b(b) = 1\\\\ log_a(b) + log_b(c) = log_a(c)

Log with base e = 2.71828... is written as \ln(x) simply.

Log with base 10 is written as \log(x) simply.

The given equation is:

\log_4(x+3) = \log_2(2 +x)

Adding \log_2(4) on both the sides, we get:

\log_2(4) + \log_4(x+3) =\log_2(4) +  \log_2(2 +x) \\\\log_2(x + 3) = log_2(4(2+x))\text{\: \: \: (using first and  last property listed)}\\\\x+3 = 8+4x = y(say)

The, we get two equations as:

y = x + 3\\y = 4x + 8

This is the needed system of equations.

Learn more about logarithms here:

brainly.com/question/20835449

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Find X AND Y! pleas help me! only reply if you KNOW IT thank you
lawyer [7]

The measures of the legs of the right triangle are:

X = 2.5

Y = 4.3

<h3>How to find the values of x and y?</h3>

In the image, we can see a right triangle with a hypotenuse with a value of 5, and a known angle.

To find the values of X and Y (the legs of the triangle) we can use the two relations:

Sin(a) = (opposite cathetus)/(hypotenuse)

Cos(a) = (adjacent cathetus)/(hypotenuse)

In this case, we have:

a = 30°

hypotenuse  = 5

opposite cathetus = X

adjacent cathetus = Y.

Replacing that in the relations we get:

Sin(30°) = X/5

Sin(30°)*5 = X = 2.5

cos(30°) = Y/5

cos(30°)*5 = Y = 4.3

Learn more about right triangles:

brainly.com/question/2217700

#SPJ1

4 0
1 year ago
If a number is a whole number, then it cannot be
Alborosie

Answer:

The answer is "am irrational number"

5 0
3 years ago
Help me answer this question please
Stella [2.4K]

ANSWER

{f}^{ - 1}  =\pm \sqrt{x + 1}

EXPLANATION

The given function is

f(x) =  {x}^{2}  - 1

Let

y =  {x}^{2}  - 1

Interchange x and y to get:

x=  {y}^{2}  - 1

Solve for y,

x + 1 =  {y}^{2}

Take square root of both sides to get,

\pm \sqrt{x + 1}  = y

This is the same as:

y =  \pm \sqrt{x + 1}

Therefore the inverse is

{f}^{ - 1}  =\pm \sqrt{x + 1}

3 0
3 years ago
F(x) = x2 + 4x + 3 symmetry of -2
Brrunno [24]

Answer:

IDK

Step-by-step explanation:

search up yt vid or use https://www.mathpapa.com/algebra-calculator.html

7 0
2 years ago
4{3sqaured+4(116-8(2×8))} I need to know ASAP it 9:30 where I live pls hwlp
inysia [295]
Start with 8*2=16
116-8= 108
108(16)=1728
3^2+4=13 13(1728)=22464
4(22464)=89856
The answer is 89,856
3 0
2 years ago
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