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4 years ago

2loge3 + loge x - loge2 = loge3 Solve for x

1 answer:

7 0

$2\ln 3+\ln x-\ln 2=\ln 3\\
\ln x=-\ln 3+\ln 2\\
\ln x=\ln \dfrac{1}{3}+\ln 2\\
\ln x=\ln \dfrac{2}{3}\\
x=\dfrac{2}{3}$

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3 years ago

Mario draws a scale drawing that includes a ladybug. The actual ladybug is 8 millimeters long. The ladybug in Mario's drawing is

solniwko [45]

Scale factor shows by how much the original model has been multiplied or divided by to get the measurements of the drawing .
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4 years ago

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State the domain and range of the function represented by the table

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3 years ago

What is the solution to the linear equation? x – StartFraction 2 Over 3 EndFraction x minus StartFraction one-half EndFraction e

Anton [14]

Your question is not well presented

Question:

What is the solution to the linear equation?

$x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x$

Answer:

$x = \frac{-5}{3}$

Step-by-step explanation:

Given

$x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x$

Required

Simplify

$x - \frac{2}{3}x - \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x$

Add $\frac{1}{2}$ to both sides

$x - \frac{2}{3}x - \frac{1}{2} + \frac{1}{2} = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}$

$x - \frac{2}{3}x = \frac{1}{3} + \frac{5}{6}x + \frac{1}{2}$

Subtract $\frac{5}{6}x$ from both sides

$x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{5}{6}x + \frac{1}{2} - \frac{5}{6}x$

$x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2} + \frac{5}{6}x- \frac{5}{6}x$

$x - \frac{2}{3}x - \frac{5}{6}x= \frac{1}{3} + \frac{1}{2}$

Take LCMs

$\frac{6x - 4x -5x}{6}= \frac{2+3}{6}$

$\frac{-3x}{6}= \frac{5}{6}$

Multiply both sides by 6

$6 * \frac{-3x}{6}= \frac{5}{6} * 6$

$-3x= 5$

Divide both sides by -3

$\frac{-3x}{-3}= \frac{5}{-3}$

$x = \frac{5}{-3}$

$x = \frac{-5}{3}$

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4 years ago

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What is the value of x? Enter your answer in the box. x =

Julli [10]

Angle sum of a triangle = 180°

Therefore:

Equation No. 1 -
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4x + 2x = 180 + 8 + 4
6x = 192
x = 192 / 6
x = 32°

Equation No. 2 -
5y = 2x - 4
y = ( 2x - 4 ) / 5

ANSWER:
x = 32°

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3 years ago

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