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
Elis [28]
3 years ago
10

Solve the following exponential equations. 2(4^x )+ 4^(x+1 )= 342

Mathematics
1 answer:
Cloud [144]3 years ago
5 0

Answer:

  x ≈ 2.91644500708

Step-by-step explanation:

The equation can be simplified to ...

  2(4^x) +4(4^x) = 342

  6(4^x) = 342

  4^x = 57

Taking logarithms, we get ...

  x = log₄(57) = log(57)/log(4)

  x ≈ 2.91644500708

You might be interested in
|-2x + 4| > or equal to 4
gulaghasi [49]

\text{When you solve for absolute value, there could be two possible outcomes}\\\\\text{In this question, the outcomes could be:}\\\\-2x+4\geq4\\\text{or}\\\\-2x+4\geq-4\\\\\text{Solve:}\\\\\text{Possibility 1:}\\\\-2x+4\geq4\\\\\text{Subtract 4 from both sides}\\\\-2x\geq0\\\\\boxed{x\leq0}\\\\\text{Possibility 2:}\\\\-2x+4\geq-4\\\\-2x\geq-8\\\\\boxed{x\geq4}

7 0
3 years ago
WILL AWARD BRAINLIEST (Find the measure of the complement and supplement)
melisa1 [442]

Answer:

The complement is 53  and the supplement is 143

Step-by-step explanation:

Two complementary angles add to 90

PQR and x = 90

37+x = 90

Subtract 37 from each side

37-37 +x =90-37

x = 53

The complement is 53


Two supplementary angles add to 180 degrees

PQR and x = 180

37+x = 180

Subtract 37 from each side

37-37 +x= 180-37

x = 143

The supplement is 143

8 0
2 years ago
A prize wheel at a county fair is divided into 9 equal sections. Each section on the wheel is marked with a letter. Each letter
Alik [6]
Your answer would be 9/27 but can be converted to 1/3. Hope this helps
8 0
3 years ago
A car wash detailed 288 cars in 9 hours. At what rate did the car wash detail cars in cars per hour? A. 31 cars per hour B. 33 c
natta225 [31]

Divide the number of cars by the number of hours:

288 / 9 = 32 cars per hour.

4 0
3 years ago
Consider a single spin of the spinner.
Nitella [24]

Answer:

landing on a shaded portion and landing on an even number ; landing on a shaded portion and landing on a number greater than 3 ; landing on an unshaded portion and landing on an odd number ; and landing on an unshaded portion and landing on a number less than 2.

Explanation:

Mutually exclusive events are events that cannot occur at the same time.  Our spinner has two grey sections, on 1 and 3; and two white sections, on 2 and 4.

This means that the spinner cannot land on a shaded (grey) portion and land on an even number at the same time, since the grey sections are numbered 2 and 4, both of which are even numbers.

The spinner also cannot land on a shaded (grey) portion and land on a number greater than 3 at the same time; this is because the only number greater than 3 on the spinner is 4, which is a white portion.

The spinner cannot land on an unshaded (white) portion and land on an odd number, since the white sections are labeled 2 and 4, which are both even.

The only number on the spinner less than 2 is 1, which is grey; this means the spinner cannot land on a number less than 2 and an unshaded (white) portion at the same time.

5 0
3 years ago
Read 2 more answers
Other questions:
  • Randall bought 2 game controllers at Electronics Plus for $36. What is the unit rate for game controller at Electronics Plus?
    12·2 answers
  • Help please! Math 5 points
    12·2 answers
  • What’s the answer for this?
    11·1 answer
  • An athlete runs an equal distance 4 days a week. The other 3 days of the week, she runs a total of 16 miles. Write an equation t
    6·1 answer
  • I need help eeeeeeeeeeeeeeeeee
    8·2 answers
  • What is the following difference? 2ab * (root(3, 192a * b ^ 2)) - 5(root(3, 81a ^ 4 * b ^ 5))
    5·1 answer
  • Plz help no link thank you
    9·1 answer
  • A factory robot recently examined some bulbs, of which 2 were flawed and 36 were not. Considering this data, how many flawed bul
    8·1 answer
  • I still dont understand how they got 50
    5·2 answers
  • a pole that is 3m tall casts a shadow that is 1.72m long. at the same time, a nearby building casts a show that is 50.5 m long.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!