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4 years ago

14

Solve 2 log7 5 + log7 x= log7 100

2 answers:

erica [24]4 years ago

5 0

Okay so this is how you solve this step by step.

2log7(5)+log7(x)=log7(100)

Subtract 2log7(5) from both sides

log7(x)=log7(100)-2log7(5)

Simplify log7(100)-2log7(5)

log7(x)=2log7(2)

Apply log rule: alogc(b)=logc(b^a)

log7(x)=log7(4)

x=4. <----Answer

I hope this helps.

gavmur [86]4 years ago

4 0

X=4 is the correct answer hope this helps

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Step-by-step explanation:

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4 years ago

If xh=10 feet and mxy =100 degrees then determine the arc length of xy

schepotkina [342]

Answer:

The arc length XY is equal to $\frac{50}{9}\pi\ ft$ or $17.4\ ft$

Step-by-step explanation:

The picture of the question in the attached figure

step 1

Find the circumference of the circle H

The circumference is given by the formula

$C=2 \pi r$

we have

$r=xh=10\ ft$

substitute

$C=2 \pi (10)\\C=20\pi\ ft$

step 2

we know that

The circumference of a circle subtends a central angle of 360 degrees

so

using proportion

Find out the length of the arc xy if the central angle is equal to 100 degrees

Remember that

$m\angle XHY=arc\ XY=100^o$ ---> by central angle

$\frac{20\pi}{360^o}=\frac{x}{100^o}\\\\x=20\pi(100)/360\\\\x=\frac{2,000}{360}\pi\ ft$

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To find out the approximate value

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$\pi=3.14$

substitute

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Step-by-step explanation:

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