1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
tatyana61 [14]
3 years ago
8

Solve for x. 83 = 35^x Express the answer to the hundredths place (i.e., two digits after the decimal point). x =

Mathematics
1 answer:
devlian [24]3 years ago
7 0

Answer:

x = 1.24

Step-by-step explanation:

In order to get that x down from its current position of exponential, you need to take either the log or the natural log of both sides.  The power rule tells us that we can then pull the exponent down in front.  So let's take the natural log of both sides:

ln(83)=ln(35)^x

We can bring the x down in front to give us:

ln(83) = x ln(35)

The right side of this is "stuck" together by multiplication, so we can undo that multilication by division of the ln(35).  That leaves us with just x on the right:

\frac{ln(83)}{ln(35)}=x

Do this on your calculator and find that x = 1.24

You might be interested in
Tony has 7/8 of a candy bar. he wants to split the bar into servings that are 3/10 of the bar. how many servings can he make?
erica [24]
Alright, so let's make both 7/8 and 3/10 into fractions with the same denominator.
The lowest common denominator for both of these is 80.
So, we multiply the top and bottom of 7/8 by 10, and the top and bottom of 3/10 by 8 to get fractions we can compare.
So, we have 70/80 of a candy bar, and we want to make servings of 24/80 each.
How many times can 24 go into 70? 2 times, with a remainder of 22.
So, Tony can make 2 servings.
3 0
3 years ago
How much higher is the average cost at a clinic<br> than the average cost at a shelter?
Doss [256]

Answer: the answer is 50

Step-by-step explanation: I got it right in the quiz

3 0
3 years ago
A park is 4.6 miles long and 2.7 miles wide. A:what is the total distance around the park? B:if a racecar drove 50 times around
Vlada [557]

Answer:

A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles

Step-by-step explanation:

Given as :

The length of park = 4.6 miles

The width of park = 2.7 miles

Let the total distance cover around park = Perimeter of park = P miles

So, Perimeter of rectangular park = 2 × Length + 2 × width

or, P = 2 × 4.6 + 2 × 2.7

I.e P = 9.2 + 5.4

Or, perimeter = 14.6 miles

A ) ∴ Total distance around the park = 14.6 miles

B ) The total distance drove by racer = 50 times around the park

  So, The total distance drove by car = 50 × Total distance around the park

∴The total distance drove by car = 50 × 14.6 = 730 miles

Hence A) Total distance around the park is 14.6 miles

          B) The total distance drove by racer 730 miles   answer                                                                              

6 0
3 years ago
a blueprint for a fence has a scale of 1:40. the fence in the blueprint is 6 in. what is the length of the actual fence ?
marin [14]
240 in or 20 ft; Since the scale is 1:40, Every 1 spot on the scale is equal to 40. So 6 times 40 equals 240 in. or 20 ft 
8 0
3 years ago
Read 2 more answers
Line F has a slope of. -6/3 and line G has a slope of -8/4.
Darina [25.2K]

Given:

Slope of line F = -\dfrac{6}{3}

Slope of line G = -\dfrac{8}{4}

To find:

The conclusion about distinct lines F and G.

Solution:

We have,

Slope of line F = -\dfrac{6}{3}

                        = -2

Slope of line G = -\dfrac{8}{4}

                        = -2

The slopes of lines F and G are equal and we know that the slopes of two parallel lines are always equal.

Therefore, the line F and line G are parallel to each other.

7 0
2 years ago
Other questions:
  • 3/8 in its lowest form
    12·2 answers
  • Cindi is planting a rectangular flower bed with 40 orange flower and 28 yellow flowers. She wants to plant them so that each row
    12·1 answer
  • Which two linear equations represent perpendicular lines? select two choices?
    9·1 answer
  • Given: ΔXYZ XY = 28 cm; XZ = 30 cm; YZ = 32 AB is a midsegment parallel to XY What is the length of AB? A) 7 cm B) 14 cm C) 28 c
    10·2 answers
  • Can someone please help me with this? This is very hard!! :(
    14·2 answers
  • Prove the following theorem indirectly. We will give you a start.
    10·1 answer
  • What is 32gal/min=qt/h
    5·1 answer
  • 7. A stainless steel pipe is used as a vent over a restaurant stove. The pipe is 6 feet long and its diameter is 12 inches. The
    5·1 answer
  • Simplify this expression<br> <img src="https://tex.z-dn.net/?f=%5Cfrac%7B%28a%5E8a%5E6%29%7D%7Ba%5E2%7D%20%5E%5Cfrac%7B1%7D%7B7%
    10·1 answer
  • Please help, i don’t know what these different marks mean
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!