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3 years ago

2ln(5x)=8 solve for x

2 answers:

8 0

$lnx=log_ex\\----------\\log_ab=c\iff a^c=b\\----------\\Domain:\\5x > 0\ \ \ |divide\ both\ sides\ by\ 5\\x > 0\\D:x\in\mathbb{R^+}\\----------------------\\2ln(5x)=8\ \ \ \ |divide\ both\ sides\ by\ 2\\\\ln(5x)=4\iff e^4=5x\\\\5x=e^4\ \ \ \ \ |divide\ both\ sides\ by\ 5\\\\\boxed{x=\frac{e^4}{5}\in D}$

Yakvenalex [24]3 years ago

5 0

2ln(5x)=8

ln(5x) = 4

e^4 = 5x

x = (e^4) / 5

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Help please and fast!

Brilliant_brown [7]

= [3x3^-2x(-2)^6/2x3^-1x(-2)^5]^2 = 1

6 0

3 years ago

Read 2 more answers

Car X weighs 136 pounds more than car Z. Car Y weighs 117 pounds more than car Z. The total weight of all three cars is 9439 pou

Aleksandr [31]

Let x, y and z denote the weighs of car X, car Y and car Z, respectively.

We know that car X weighs 136 more than car Z, this can be express by the equation:

$x=z+136$

We also know that Y weighs 117 pounds more than car Z, this can be express as:

$y=z+117$

Finally, we know that the total weight of all the cars is 9439, then we have:

$x+y+z=9439$

Hence, we have the system of the equations:

$\begin{gathered} x=z+136 \\ y=z+117 \\ z+y+z=9439 \end{gathered}$

To solve the system we can plug the values of x and y, given in the first two equations, in the last equation; then we have:

$\begin{gathered} z+136+z+117+z=9439 \\ 3z=9439-136-117 \\ 3z=9186 \\ z=\frac{9186}{3} \\ z=3062 \end{gathered}$

Now that we have the value of z we plug it in the first two equations to find x and y:

$\begin{gathered} x=3062+136=3198 \\ y=3062+117=3179 \end{gathered}$

Therefore, car X weighs 3198 pound, car Y weighs 3179 pounds and car Z weighs 3062 pounds.

4 0

1 year ago

ASAP PLEASE HELP!! “Find the quotient”

elena-14-01-66 [18.8K]

Answer:

The quotient is $\frac{x(2x-3)}{7}$ answer (D)

Step-by-step explanation:

$\frac{2x-3}{x}$ ÷ $\frac{7}{x^{2} }$

In division with fractions we reverse the fraction after division sign and change division sign to multiplication sine

$\frac{2x-3}{x}$ × $\frac{x^{2} }{7}$

$\frac{2x-3}{1}$ × $\frac{x}{7}$

$\frac{x(2x-3)}{7}$

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3 years ago

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avanturin [10]

Answer:

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3 years ago

What is the distance around a triangle with the sides measuring 2⅛, 3½ and 2½?

Marta_Voda [28]

So when you have data given this kind of form... you should convert to decimal first.
So that would be:
a ≈ 2.12
b = 3.5
c = 2.5
Now just place the simple perimeter formula, and sum all sides.

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3 years ago