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
ss7ja [257]
3 years ago
9

The value of x in the equation 4^(2x+5)=8^(3x)

Mathematics
1 answer:
Roman55 [17]3 years ago
3 0
4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

But 4 = 2²  and 8 = 2³

4⁽²ˣ ⁺ ⁵⁾ = 8³ˣ

2²⁽²ˣ ⁺ ⁵⁾ = (2³)³ˣ

Multiply out the powers, also since the
 
 2⁴ˣ ⁺ ¹⁰ = 2⁹ˣ

Since the bases are the same, hence the powers are also the same.

4x + 10 = 9x

4x - 9x = -10

-5x = -10

x = -10/-5

x = 2

Hope this explains it.
You might be interested in
A company has 3,330 meters of canvas to make tents. If
faltersainse [42]

Answer:

  740

Step-by-step explanation:

If t represents the number of tents made, then 4.5t represents the amount of canvas needed. We have ...

  4.5t = 3330

  t = 3330/4.5 = 740

740 tents could be made.

7 0
2 years ago
Find the vertex of: y=6(x-1)2-8<br> (x,y)
Pepsi [2]
\bf \qquad \textit{parabola vertex form}\\\\&#10;\begin{array}{llll}&#10;y=a(x-{{ h}})^2+{{ k}}\\\\&#10;x=a(y-{{ k}})^2+{{ h}}&#10;\end{array} \qquad\qquad  vertex\ ({{ h}},{{ k}})\\\\&#10;-----------------------------\\\\&#10;\begin{array}{lllcll}&#10;y=&6(x-&1)^2&-8\\&#10;&\uparrow &\uparrow &\uparrow \\&#10;&a&h&k&#10;\end{array}
5 0
2 years ago
What is the cube if 8?
vlada-n [284]
The cube root of 8 is 2.
8 0
3 years ago
Describe the pattern between the fractions 1/9 and 2/9 and their decimal form​
Svetradugi [14.3K]
1/9 is equal to 0.11, and 2/9 is equal to 0.22. You can see the pattern here, if you look at the numerator of the fraction and the decimal.
5 0
1 year ago
Given the line -2 + 2y = 5 , find the perpendicular line that goes through (1, -3). HeLP ME PLEASEE QUICK
brilliants [131]

Answer:

x=1

Step-by-step explanation:

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  − 2 + 2 y = 5 .

4 0
3 years ago
Other questions:
  • Equation : a^2 + ( 2b - c) x d, solve for a=2, b=5, c=8, and d=4!! help pls and work
    13·1 answer
  • Question 4.<br> Which percent is equivalent to 3/8?<br> A) 375%<br> B) 3.75%<br> C) 37.5%
    10·1 answer
  • Describe how the graphs of y=x and y=x-15 related
    8·2 answers
  • According to the Constitution, the amount of time the president and vice president serve in office together for one term is
    13·2 answers
  • Divide x^4 + 7 by x - 3.
    8·1 answer
  • Which of the following is equivalent to the expression (9x^2y^3)(12x^-3y^5)(2xy)?
    13·2 answers
  • Find the missing number so that the equation has infinitely many solution
    15·2 answers
  • I will mark u as the brainiest if u get this correct<br> thx<br> x
    10·2 answers
  • The doctor prescribes Sam a 140 ml bottle of medicine with the instructions to take 5 ml twice a day. How long does the medicine
    6·1 answer
  • Darion spends $6.24 on apples that are $2.40 per pound. How many pounds did Darion purchase?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!