All categories

3 years ago

What is the value of x in the following equation 1/5x=5^8 A)-8 B) 8 C)40 D)-40

1 answer:

7 0

The correct question is
What is the value of x in the following equation (1/5)^x=5^8

Applying logarithms both members
log(1/5)^x=log(5^8)
x*log(1/5)=8*log(5)
x=8*log(5)/log(1/5)

we know that
log (1/5)----> log (1)-log (5)----> 0-log (5)-----> -log (5)
so
x=8*log(5)/-log (5)------> x=-8

the answer is
-8

You might be interested in

I need help plz will give brainliest!!!

Leokris [45]

Answer:

18 red marbles

Step-by-step explanation:

Because the ratio of yellow marbles to red marbles is 1:6 in the population, the expected number of red marbles is 6 times the number of yellow marbles in the representative sample. there should be 18 red marbles.

7 0

3 years ago

Enguun earns $17 per hour tutoring student athletes at Brooklyn University. a) If Enguun tutored for 12 hours this month, how mu

Sati [7]

Answer: a) $204 b) $331.50

Step-by-step explanation: a) 17 x 12 b) 17 x 19.5 (Sorry, I can't do a diagram, you have to do it by yourself...)

6 0

3 years ago

Given that Triangle ABC ~ DEF, solve for X.

Vadim26 [7]

Answer:

x = 7

Step-by-step explanation:

if ABC ~ DEF than AB ~ ED, AC ~ DF, and CB ~ FE

The ratio of AB to ED is given as 5/30 = 1/6

For AC ~ ED the ratio would be same x/42 = 1/6 cross multiply it

6x = 42

x = 7

6 0

3 years ago

For an angle 0 with the point (-20,-21) on its terminating side, what is the value of cosine ?

Karo-lina-s [1.5K]

check the picture below.

$\bf (\stackrel{a}{-20},\stackrel{b}{-21})\impliedby \textit{let's find the \underline{hypotenuse}} \\\\\\ \textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies c=\sqrt{a^2+b^2} \qquad \begin{cases} c=hypotenuse\\ a=\stackrel{adjacent}{-20}\\ b=\stackrel{opposite}{-21}\\ \end{cases} \\\\\\ c=\sqrt{(-20)^2+(-21)^2}\implies c=\sqrt{841}\implies c=29 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill cos(\theta )=\cfrac{\stackrel{adjacent}{-20}}{\stackrel{hypotenuse}{29}}~\hfill$

5 0

3 years ago

Cities A & B are 5 inches apart on a map. Cities Ce Dare 4 inches apart. If C & D are 900 miles apart how many miles apa

Afina-wow [57]

Answer:

<u>Cities A and B are 1,125 miles apart</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Distance between A and B in the map = 5 inches

Distance between C and D in the map = 4 inches

Real distance between C and D = 900 miles

2. How many miles apart are cities A and B?

We will solve the question, using Direct Rule of Three, as follows:

Distance in the map Real distance

A - B 5 inches x

C - D 4 inches 900 miles

***************************************************

4x = 900 * 5

4x = 4,500

x = 4,500/4

x = 1,125 miles

<u>Cities A and B are 1,125 miles apart</u>

Same answer to question 14701120, answered by me today

8 0

4 years ago