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2 years ago

Solve for x. Round your answer to the nearest hundredth

Mathematics

2 answers:

brilliants [131]2 years ago

7 0

Answer:

8.06198187 ...

Step-by-step explanation:

ln (16 x − 7 ) = ln ( 19 )

Expand ln ( 16 x − 7 ) by moving x − 7 outside the logarithm.

( x − 7 ) ln ( 16 ) = ln ( 19 )

Apply the distributive property.

x ln ( 16 ) − 7 ln ( 16 ) = ln ( 19 )

Move all the terms containing a logarithm to the left side of the equation.

x ln ( 16 ) − 7 ln ( 16 ) − ln ( 19 ) = 0

Move all terms not containing

to the right side of the equation.

x ln ( 16 ) = 7 ln ( 16 ) + ln ( 19 )

Divide each term by ln ( 16 ) and simplify.

x = 7 + ln ( 19 ) ln ( 16 )

The result can be shown in multiple forms.

Exact Form:

x = 7 + ln ( 19 ) ln ( 16 )

Decimal Form:

8.06198187...

sry for being incorrect the last time.

Dmitry [639]2 years ago

5 0

Answer:

8.06

Step-by-step explanation:

Exact form would be

X=7 + In(19)/In(16)

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Nana76 [90]

Answer:

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Step-by-step explanation:

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2 years ago

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Alekssandra [29.7K]

Answer:

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Step-by-step explanation:

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7 0

2 years ago

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Leni [432]

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3 years ago

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Which one is it a.b.c.d u get 25 points if u answer it

kobusy [5.1K]

He cut the poster board into 10 equal parts, so you start with none of the poster board being used up.

Since there were 10 sheets of poster board, and now 8/10 of the original amount is left, we know that there must now be 8 sheets left out of the original 10 sheets.

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2 years ago

Without plotting points, let M=(-2,-1), N=(3,1), M'= (0,2), and N'=(5, 4). Without using the distanceformula, show that segments

kramer

Given:

M=(x1, y1)=(-2,-1),

N=(x2, y2)=(3,1),

M'=(x3, y3)= (0,2),

N'=(x4, y4)=(5, 4).

We can prove MN and M'N' have the same length by proving that the points form the vertices of a parallelogram.

For a parallelogram, opposite sides are equal

If we prove that the quadrilateral MNN'M' forms a parallellogram, then MN and M'N' will be the oppposite sides. So, we can prove that MN=M'N'.

To prove MNN'M' is a parallelogram, we have to first prove that two pairs of opposite sides are parallel,

Slope of MN= Slope of M'N'.

Slope of MM'=NN'.

$\begin{gathered} \text{Slope of MN=}\frac{y2-y1}{x2-x1} \\ =\frac{1-(-1)}{3-(-2)} \\ =\frac{2}{5} \\ \text{Slope of M'N'=}\frac{y4-y3}{x4-x3} \\ =\frac{4-2}{5-0} \\ =\frac{2}{5} \end{gathered}$

Hence, slope of MN=Slope of M'N' and therefore, MN parallel to M'N'

$\begin{gathered} \text{Slope of MM'=}\frac{y3-y1}{x3-x1} \\ =\frac{4-(-1)}{5-(-2)} \\ =\frac{3}{2} \\ \text{Slope of NN'=}\frac{y4-y2}{x4-x2} \\ =\frac{4-1}{5-3} \\ =\frac{3}{2} \end{gathered}$

Hence, slope of MM'=Slope of NN' nd therefore, MM' parallel to NN'.

Since both pairs of opposite sides of MNN'M' are parallel, MM'N'N is a parallelogram.

Since the opposite sides are of equal length in a parallelogram, it is proved that segments MN and M'N' have the same length.

7 0

8 months ago