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
NikAS [45]
3 years ago
10

Solve the equation for x. 3 In(x) + 2 In (4)= In(128)

Mathematics
1 answer:
Scilla [17]3 years ago
8 0

Answer:

x=2

Step-by-step explanation:

3 ln(x) + 2 ln (4)= ln(128)

a ln (b) = ln b^a

In(x^3) +  In (4^2)= In(128)

In(x^3) +  In (16)= In(128)

ln a + ln b = ln (ab)

In(16x^3) = In(128)

raise each side to the power of e

e^ In(16x^3) = e ^In(128)

e^ ln  cancels out

(16x^3) = (128)

divide by 16

(16x^3)/16 = (128)/16

x^3 = 8

take the cube root on each side

(x^3)^1/3 = 8^ 1/3

x =2



You might be interested in
Which of the following correctly describes the graph of - 5/2 f(x)
fgiga [73]

Answer:

B

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
HELP NOW! I have a 26 question test, what are answers? Im in 7th grade, first question is, write the expression using an exponen
Nataly_w [17]

Answer:

4096

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Im not too sure about my answer so if you could please help me. its the last question
Ilya [14]

Answer:

I believe the answer is A

Step-by-step explanation:

Distributive property

7 0
3 years ago
Read 2 more answers
Multiply: −6×(5) please help me
seropon [69]
That is easy the answer is -30
tell of i am right

4 0
3 years ago
Identify the zeros of the function:<br> f(x) = 4x-8
tino4ka555 [31]

Answer:

x=2

Step-by-step explanation:

here is what the line would look like on a graph

7 0
3 years ago
Other questions:
  • What is the slope of y=6-3x
    7·2 answers
  • A new homeowner needs to put up a fence to make his yard secure. the house itself forms the south boundary and the garage forms
    13·1 answer
  • What is the equation of this line?
    7·1 answer
  • If mCDA = 11 , what is mCBA?
    6·2 answers
  • Which numbers are factors of 4? Select all that apply.<br><br> 1<br> 4<br> 2<br> 3
    15·2 answers
  • In a group of seventeen people, five play guitar and six play piano. Only two people play both piano and guitar. Which two-way t
    13·1 answer
  • Albie wants to build a ramp from his porch to a point on the ground 4 feet away from the base of the porch. What is the length,
    6·2 answers
  • A store had a sale on art supplies. The price p of each item was marked down 10%. Which expression represents the new price?
    6·2 answers
  • a scale drawing of a movie screen is 21 inches long and 9 inches tall. The actual screen is 30 ft tall. Find the perimeter of th
    10·1 answer
  • Needs help with this!!!
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!