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3 years ago

A person who weighs 100 pounds on Earth weighs 16.6lbs on the moon. Which variable is the independent variable

1 answer:

6 0

The independent variable is the weight of the person. The weight of the person on the moon depends on the weight of the person on Earth.

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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:

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2 years ago

How do I factorise out the negative?

SCORPION-xisa [38]

I think the anser is c that what i think

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3 years ago

Read 2 more answers

Axel got on the elevator at the 23rd floor. He rode it up 4 floors to deliver a package, and then down

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Answer:

bag on bags mfajakaakallaaf

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3 years ago

11. Jesus earns $3000 over the summer. He

sergij07 [2.7K]

Answer:

85m x w=3000

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Step-by-step explanation:

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3 years ago

Prove that (x-2)is factor of p (x)=2x³-3x²-17x+30

Natasha_Volkova [10]

Answer:

P(2)=0 then x-2 is a factor of P(x)

Step-by-step explanation:

To see if (x-2) is a factor just plug in 2 for x into the polynomial expression.

2(2)^3-3(2)^2-17(2)+30

2(8)-3(4)-34+30

16-12-34+30

4-34+30

-30+30

Since P(2)=0 then x-2 is a factor

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3 years ago