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
lakkis [162]
3 years ago
14

Solve 2^16x=16^2x for x

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0
2^(16x)=16^(2x)


16=2⁴

2^(16x)=(2⁴)^(2x)
2^(16x)=2^(4*2x)
2^(16x)=2^(8x)

Therefore:
if a^n=a^m  ⇒n=m

16x=8x
16x-8x=0
8x=0
x=0/8=0

Answer: x=0
You might be interested in
A software distributor charges \$41$41dollar sign, 41 per license of a particular utility. The distributor offers a 10\%10%10, p
Alchen [17]

Answer:

1558

Step-by-step explanation:

The first 202020 licenses cost full price, which is \$41$41dollar sign, 41 each. Thus, the first 202020 licenses cost a total of \$41 \cdot 20 = \$820$41⋅20=$820dollar sign, 41, dot, 20, equals, dollar sign, 820.

Hint #2

The remaining licenses have a 10\%10%10, percent discount. That means they cost 90\%90%90, percent of the full price. Let's write 90\%90%90, percent in its decimal form, 0.90.90, point, 9, in order to multiply.

\qquad 0.9 \cdot \$41 = \$36.900.9⋅$41=$36.900, point, 9, dot, dollar sign, 41, equals, dollar sign, 36, point, 90

Hint #3

There are 40 - 20 = 2040−20=2040, minus, 20, equals, 20 licenses at the reduced price of \$36.90$36.90dollar sign, 36, point, 90. Thus, the remaining 202020 licenses cost a total of \$36.90 \cdot 20 = \$738$36.90⋅20=$738dollar sign, 36, point, 90, dot, 20, equals, dollar sign, 738.

Hint #4

To find the cost for all 404040 licenses, let's add the costs of the full price and discounted licenses.

\qquad \$820 + \$738 = \$1558$820+$738=$1558dollar sign, 820, plus, dollar sign, 738, equals, dollar sign, 1558

Hint #5

The business would pay \$1558$1558dollar sign, 1558 to buy the licenses.

3 0
3 years ago
On a standardized exam, the scores are normally distributed with a mean of 300 and
Misha Larkins [42]

Answer:

-1.5

Step-by-step explanation:

8 0
3 years ago
Can someone pls help me with these I’ve asked this question 3 times already :( will mark brainiest
Tresset [83]

1: cell

2: distinction

3: assumption

4: foliage

5: commision

6: viewpoint

7: considerable

8: membrane

9: cell

10: final

11: viewpoint

12: considerable

uwu

Edit: added 9-12 didn't see them until I accidentally scrolled down, lol.

7 0
3 years ago
Read 2 more answers
Un carpintero quiere cortar una plancha de triple y de 1m de largo y 60 cm de ancho, en cuadrados lo más grandes posibles. El ca
Ugo [173]

Answer: 20\ cm

Step-by-step explanation:

The first step to solve the exercise is to make the conversion from meters to centimeters.

Since 1\ m=100\ cm, then the dimensions of the wood board in centimeters are:

Lenght=100\ cm\\\\Width=60\ cm

Now, you must find the Greatest Common Factor (GCF). The steps are:

- Descompose 100 and 60 into their prime factors:

100=2*2*5*5=2^2*5^2\\60=2*2*3*5=2^2*3*5

- Multiply the commons with the lowest exponents:

GCF=2^2*5\\\\GCF=4*5\\\\GCF=20

Therefore, the side lenght of each square must be:

s=20\ cm

7 0
3 years ago
A student solved log4(2x – 12) = 3, as shown. Which did you include in your answer?
siniylev [52]

Answer:

x = 38

Step-by-step explanation:

using the law of logarithms

• log_{b} x = n ⇔ x = b^{n}, hence

log_{4}(2x - 12) = 3 ⇒ 2x - 12 =  4^{3} = 64

add 12 to both sides

2x = 76 ( divide both sides by 2 )

x = 38


5 0
3 years ago
Other questions:
  • Find the range for the measure of the third side of a triangle if the measuresof the two sides are 10 and 16.
    14·1 answer
  • PLEASE HELP ASAP QUESTIONS ARE IN PICTURE
    6·1 answer
  • What's the area of a triangle of 14ft and 17ft
    6·1 answer
  • ACCORDING TO A NEW YORK TIMES ARTICLE IN 2009 THE AVERAGE SELLING PRICE OF AN LCD TV WAS $700 WHAT WOULD BE THE COST OF THAT SAM
    8·1 answer
  • Show and explain why 6 is not a solution to the inequality below.<br> 2x - 9 ≥ 5
    5·1 answer
  • Find the GCF of 260,80,50
    13·1 answer
  • 94 divided by 4552 <br><br> Show ur work
    5·2 answers
  • Emily’s lawn grows at a constant rate. The height of her lawn, during a 10-day period, is represented by the graph below.
    7·2 answers
  • Jacob currently grows and sells 10 butternuts each week to a spaza shop. Each butternut costs R4 to grow and is sold for R7.
    10·1 answer
  • If B = -p + 10p2 and C = 2p + 7, find an expression that equals B + 3C in<br> standard form.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!