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earnstyle [38]
3 years ago
14

I need help on all of these

Mathematics
1 answer:
lord [1]3 years ago
5 0

well #7 is a solution.

y= 9x (4,36)

9 times 4 = 36

36/9=4

so the ordered pair is a solution.

y=3x-5 (7,16)

3 times 7 -5= 16

so once again the ordered pair is a solution.


Hoped this helped.

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What are the potential solutions of log4x+log4(x+6)=2?
lions [1.4K]

The potential solutions of log_4x+log_4(x+6)=2 are 2 and -8.

<h3>Properties of Logarithms</h3>

From the properties of logarithms, you can rewrite logarithmic expressions.

The main properties are:

  • Product Rule for Logarithms - log_{b}(a*c)=log_{b}a+log_{b}c
  • Quotient Rule for Logarithms - log_{b}(\frac{a}{c} )=log_{b}a-log_{b}c
  • Power Rule for Logarithms - log_{b}(a^c)=c*log_{b}a

The exercise asks the potential solutions for  log_4x+log_4(x+6)=2. In this expression you can apply the Product Rule for Logarithms.

                                  log_4x+log_4(x+6)=2\\ \\ x*(x+6)=4^2\\ \\ x^2+6x=16\\ \\ x^2+6x-16=0

Now you should solve the quadratic equation.

 

 Δ=b^2-4ac=36-4*1*(-16)=36+64=100. Thus, x will be x_{1,\:2}=\frac{-6\pm \:\sqrt{100} }{2\cdot \:1}=\frac{-6\pm \:10}{2}. Then:

x_1=\frac{-6+10}{2}=\frac{4}{2} =2\\ \\ \:x_2=\frac{-6-10}{2}=\frac{-16}{2} =-8

The potential solutions  are 2 and -8.

Read more about the properties of logarithms here:

brainly.com/question/14868849

4 0
2 years ago
What is the answer to x in this equation K(x)=3/2x-1;k(x)=-4
I am Lyosha [343]

Answer :

-1/3

Explaination :

K(x) = 3/2x - 1

K(x) = -4

K(-4) = 3 / 2(-4) - 1

K = 3 / -8 - 1

K = 3 / -9

K =

-  \frac {1}{3}

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