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4 years ago

What is the true solution In 20+In 5=2 In x?

Mathematics

1 answer:

S_A_V [24]4 years ago

7 0

Answer:

x = 10

Step-by-step explanation:

Using the rules of logarithms

• log x + log y ⇔ log(xy)

• log $x^{n}$ ⇔ n log x

• log x = log y ⇒ x = y

Given

ln20 + ln5 = 2 lnx , then

ln(20 × 5) = ln $x^{2}$

ln 100 = ln $x^{2}$ , hence

x² = 100 ( take the square root of both sides )

x = 10

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Quiz

Tasya [4]

Answer:

1603

Step-by-step explanation:

3^3*4^3-5^3

__________

3*3*3=9*3=27

4*4*4=16*4=64

5*5*5=25*5=125

(27*64)-125

1728-125

1603

7 0

3 years ago

Read 2 more answers

What’s the exponential form of 64

Kobotan [32]

The exponential form of 64 is $8^{2}$ .

The square root of 64 is 8. So 8 x 8 = 64.

7 0

3 years ago

Factor by grouping: x^3+2x^2−4x−8. Which of the following is one of the factors?

RoseWind [281]

Answer:

B. (x−2)

Step-by-step explanation:

Factor out x^2

x^2(x+2)-4x-8

Factor out 4

x^2(x+2)-4(x+2)

Now combine

(x^2-4)(x+2)

Factor x^2-4 (notice that it is a difference of squares)

(x+2)(x-2)(x+2) -x+2 is twice so we can square it

(x+2)^2(x-2)

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=15%20%5Ctimes%2094%20-%2089%20%5Cdiv%205" id="TexFormula1" title="15 \times 94 - 89 \div 5" al

lakkis [162]

1410-89/5
1410-17.8= 1392.2

7 0

3 years ago

Write an equation (in slope-intercept form) of the line that passes through (0, 3) and (−5, 2.5).

Paladinen [302]

The equation of the line passing throught the points $A(x_A,y_A)$ and $B(x_B,y_B)$ has a form

$\dfrac{x-x_A}{x_B-x_A}=\dfrac{y-y_A}{y_B-y_A}.$

Now the equation of the line passing through points (0, 3) and (−5, 2.5) is

$\dfrac{x-0}{-5-0}=\dfrac{y-3}{2.5-3}.$

Simplify it:

$\dfrac{x}{-5}=\dfrac{y-3}{-0.5},\\ \\0.5x=5(y-3),\\ \\5x=50y-150,\\ \\x=10y-30,\\ \\10y=x+30,\\ \\y=0.1x+3.$

This equation is in slope-intercept form.

Answer: y=0.1x+3.

5 0

4 years ago