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2 years ago

! ! ! Angles ! ! !

Mathematics

1 answer:

dezoksy [38]2 years ago

5 0

Answer:

the answer is a :)

Step-by-step explanation:

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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

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1 year ago

BRAINLIEST TO FIRST CORRECT ANSWER!!

sineoko [7]

Answer:

$57\:\mathrm{km}$

Step-by-step explanation:

Since the question implies his truck travels at a constant distance per gallon, we can set up the following proportion to find how much father his truck can go.

Let $x$ represent how much farther his truck can go, in kilometers:

$\frac{2}{76}=\frac{1.5}{x}$

Cross-multiplying, we get:

$2x=76\cdot 1.5,\\x=\frac{76\cdot 1.5}{2}=\boxed{57\:\mathrm{km}}$

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2 years ago

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Write the function of this graph

Colt1911 [192]

Answer:

f(x) = -3/7x - 6

Step-by-step explanation:

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2 years ago

A line passes through the points A(n,4) and B(6,8) and is parallel to y=2x-5. What is the value of n?

svet-max [94.6K]

(4,6),(5,3),(7,2),(9,3)

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2 years ago

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Find the measure of angle b

galina1969 [7]

Answer:

48. ..........hhshhxhxx

Step-by-step explanation:

180-42-90=48

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2 years ago

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