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3 years ago

8

Using the properties of exponents and logarithms, find the value of x in 19+2 in x=25

1 answer:

ivanzaharov [21]3 years ago

5 0

Answer:

x = e³

Step-by-step explanation:

Using the property of logarithms

• $log_{b}$ x = n ⇔ x = $b^{n}$

Given

19 + 2lnx = 25 ( subtract 19 from both sides )

2lnx = 6 ( divide both sides by 2 )

lnx = 3 [ note lnx = $log_{e}$ x ]

x = e³

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Which of the following is a rational number?

Soloha48 [4]

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Step-by-step explanation:

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3 years ago

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Read 2 more answers

What is the x-value of the solution to the system of equations?

ValentinkaMS [17]

Answer:

The solution to the system of equations is:

$x=4,\:y=-3$

Step-by-step explanation:

Given the system of equations

$5x + 4y =8$

$2x- 3y = 17$

solving the system of equations

$\begin{bmatrix}5x+4y=8\\ 2x-3y=17\end{bmatrix}$

$\mathrm{Multiply\:}5x+4y=8\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:10x+8y=16$

$\mathrm{Multiply\:}2x-3y=17\mathrm{\:by\:}5\:\mathrm{:}\:\quad \:10x-15y=85$

$\begin{bmatrix}10x+8y=16\\ 10x-15y=85\end{bmatrix}$

$10x-15y=85$

$-$

$\underline{10x+8y=16}$

$-23y=69$

$\begin{bmatrix}10x+8y=16\\ -23y=69\end{bmatrix}$

solve for y

$-23y=69$

Divide both sides by -23

$\frac{-23y}{-23}=\frac{69}{-23}$

$y=-3$

$\mathrm{For\:}10x+8y=16\mathrm{\:plug\:in\:}y=-3$

$10x+8\left(-3\right)=16$

$10x-24=16$

$10x=40$

Divide both sides by 10

$\frac{10x}{10}=\frac{40}{10}$

$x=4$

Thus, the solution to the system of equations is:

$x=4,\:y=-3$

7 0

3 years ago

Find the slope of the line passing through the points (-5, 3) and (7, 9)

rodikova [14]

$\sf{\red{Answer}}$

$\sf{m = \frac{1}{2} }$

$\sf{\purple{Explanation}}$

$\sf{m = \frac{y_{2}- y_{1}}{m_{2} - m_{1}} }$

$\sf{m = \frac{9- 3}{7- ( - 5)} }$

$\sf{m = \frac{6}{7 + 5} }$

$\sf{m = \frac{6}{12} }$

$\sf{m = \frac{1}{2} }$

3 0

2 years ago

You have 3/4 yard of pipe how many pieces can you cut the yard into If each yard eighth yard ?

Len [333]

Answer:

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Step-by-step explanation:

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3 years ago