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
gayaneshka [121]
2 years ago
9

Solve: log8 (x - 4) = 2

Mathematics
2 answers:
Black_prince [1.1K]2 years ago
7 0

Answer:

x = 68

Step-by-step explanation:

Given equation:

\rm log_{8}(x - 4)  = 2

To Find:

Value of x

Solution:

Rewrite the equation in exponential form which is equivalent to b^y = x.

\implies {8}^{2}  = x - 4

Now find the value of x.

\implies \:64 = x - 4

Transpose 4 from RHS to LHS, make sure to change its sign from (-) to (+) .

\implies \: 64 + 4 = x

Overturn the equation

\implies \: x = 68

Thus, value of x is 68.

Vsevolod [243]2 years ago
4 0

Answer:

x = 68

Explanation:

⇒ log₈(x - 4) = 2

<u>apply log rules</u>: logₐN = x then N = aˣ

⇒ (x - 4) = 8²

<u><em>simplify</em></u>

⇒ x - 4 = 64

<u><em>add 4 on both sides</em></u>

⇒ x = 64 + 4

<u><em>add the integers</em></u>

⇒ x = 68

You might be interested in
Find the simple interest on a $340 loan at a 15% annual interest rate for 1<br> year
Crank

Answer:

$51.

Step-by-step explanation:

Interest I = PRT/100   where P = amount of the loan , R = rate and T = the times in years.

I = 340 * 15 * 1 / 100

= 5100/100

= $51.

4 0
3 years ago
Read 2 more answers
2n + 1.6 = 17.6 what is the value of n?​
Vinil7 [7]

Answer:

<h2><u><em>n = 8</em></u></h2>

Step-by-step explanation:

2n + 1.6 = 17.6 what is the value of n?​

2n + 1.6 = 17.6

2n = 17.6 - 1.6

2n = 16

n = 16 : 2

n = 8

-----------------

check

2n + 1.6 = 17.6

2*8+1.6=17.6

16+1.6=17.6

17.6=17.6

the answer is good

7 0
2 years ago
Read 2 more answers
3a + 10 − 4q + 7a − 4q − 6.
soldi70 [24.7K]

Answer:

Step-by-step explanation:

3a+10-4q+7a-4q-6  combine terms

10a-8q+4

7 0
3 years ago
Read 2 more answers
Can y’all plz help me ?
crimeas [40]

Answer:

x=-5

Step-by-step explanation

The first box has eight x's and six 1's which means that it would be written as 8x+6

The second box has four x's and fourteen -1's which means that it would be written as 4x-14

You set them equal to one another

8x+6=4x-14

You subtract 4x from both sides

4x+6=-14

Subtract 6 on both sides

4x=-20

Divide 4 on both sides

x=-5

Hope it helps :))

4 0
3 years ago
Simplify the expression.<br><br> [(11 - 4)^3]^2 ÷ (4 + 3)^5
MAXImum [283]

Answer:

<h2>7</h2>

Step-by-step explanation:

\left[\left(11\:-\:4\right)^3\right]^2\:\div \left(4\:+\:3\right)^5\\\\\frac{\left(\left(11-4\right)^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Subtract\:the\:numbers:}\:11-4=7\\\\=\frac{\left(7^3\right)^2}{\left(4+3\right)^5}\\\\\mathrm{Add\:the\:numbers:}\:4+3=7\\\\=\frac{\left(7^3\right)^2}{7^5}\\\\\left(7^3\right)^2=7^6\\\\=\frac{7^6}{7^5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \frac{x^a}{x^b}=x^{a-b}\\\\\frac{7^6}{7^5}=7^{6-5}\\\\\mathrm{Subtract\:the\:numbers:}\:6-5=1\\\\=7

5 0
3 years ago
Other questions:
  • How many inches tall is a 7 foot basketball player?
    5·2 answers
  • Eleanor and Max used two Rectangular wooden boards to make a set for the school play one board was 6 feet long,And other was 5 1
    14·1 answer
  • Marshall took $36.75 to the state fair. Each ticket into the fair costs x dollars. Marshall bought 3 tickets. Write an expressio
    11·1 answer
  • What is 100x100x100x12.5
    13·2 answers
  • If a + b + c.= 5 and ab + bc +ca = 10 , then prove that a3+ b3+ c3-3abc = -25
    14·1 answer
  • What is 5.0706 rounded to the nearest hundredth
    9·1 answer
  • Please help me idk this
    12·2 answers
  • please help o.o ¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯¯\_(ツ)_/¯(┬┬﹏┬┬)(┬┬﹏┬┬)(┬┬﹏┬┬)Simplify 3x - 4 - 5x = 6 + 4x + 2
    7·1 answer
  • Help me will mark as brainliest only the 8th one​
    7·2 answers
  • Please help me please i really need help please
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!