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
Evaluate this expression what is <br> b=-6 and c=7.c-7b
VLD [36.1K]

Answer:

49

Step-by-step explanation:

substitute b = - 6 and c = 7 into the expression and evaluate

c - 7b = 7 - (7 × - 6) = 7 - (- 42) = 7 + 42 = 49


7 0
2 years ago
Find the solution of the square root of the quantity of x plus 2 plus 4 equals 6, and determine if it is an extraneous solution.
morpeh [17]

minus 4 both sides

square both sides

x+2=4
minus 2
x=2
 
<span>the answer is 
 x = 2; not extraneous</span>
4 0
3 years ago
Read 2 more answers
JL = 28,<br> KL= 5x + 6, and<br> JK = 3x + 6,
Alexeev081 [22]

Answer:

KL = 16

Step-by-step explanation:

For this problem, JL is the sum of KL and JK.  So we can say this:

JK + KL = JL

( 3x + 6 ) + ( 5x + 6 ) = 28

8x + 12 = 28

8x = 16

x = 2

So, now we can find KL:

5x + 6 = ?

5(2) + 6 = ?

10 + 6 = ?

16 = ?

So the length of KL is 16.

Cheers.

7 0
3 years ago
A scale drawing of a square has a side length of 6 millimeters. The drawing has a scale of 1 mm : 7 km. Find the actual perimete
zvonat [6]

Answer:

The real perimeter is:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

Step-by-step explanation:

For this case we know one side of a square given 6mm.

We can begin calculating the perimeter for the scale figure with this formula:

P = 4x = 4*6 mm =24 mm

The area for this case is given by:

A = x^2 = 6mm^2 = 36 mm^2

And we know that the drawing has a scale of 1 mm : 7 km and if we convert the perimeter to km we got:

P= 24 mm *\frac{7 km}{1mm}= 168 km

And the area would be:

P = 36mm^2 *\frac{(7km)^2}{(1mm)^2} = 1764 km^2

6 0
3 years ago
Mrs. Jordan participates in a math contest. She completes each question in 1/2
marysya [2.9K]

it takes mrs. jordan 24 minutes to complete 12 questions.

if she completes each question in 1/2 a minute, then:

1/2 / 12 questions = 24 minutes.

5 0
3 years ago
Other questions:
  • Brainlist! I NEED THIS RIGHT NOE PLEASE. What is the domain of this graph?
    6·2 answers
  • A company that manufactures toothpaste is studying five different package designs.Assuming that one design is just as likely to
    5·1 answer
  • Is 16/14 equally to 64/60
    15·1 answer
  • How to find and discover what is m∠A?
    15·1 answer
  • If the point (−1, −5) is reflected across the x-axis, what is the location of the new point? A) (5, 1) B) (1, 5) C) (1, −5) D) (
    5·1 answer
  • Find the diameter of a circle with a circumference of 15.17 yards
    5·1 answer
  • PLEASE answer this I put the graph in the picture<br><br>​
    8·1 answer
  • Please answer this correctly
    5·1 answer
  • Kim made soup which contains 75 total ounces of beans. the soup has two kinds of beans, black and red. there are 4 times as many
    8·1 answer
  • Equation practice with vertical angles solve for x
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!