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
Agata [3.3K]
3 years ago
10

NEED HELP What is the real value of x in the equation log.2.24 - log.2.3 = log.5.x ?

Mathematics
2 answers:
tia_tia [17]3 years ago
8 0

Answer:

125

Step-by-step explanation:

log2 (24) - log2 (3) = log5 (x)

We know that log a(b) - log a(c) = log a( b/c)

log2 (24/3)  = log5 (x)

log2 (8) = log5 (x)

Rewriting 8 as 2^3

log2 (2^3) = log5 (x)

We know that log a ( a^b) =  b loga (a) and loga (a) =1

3 log2 (2) = log5 (x)

3 *1 =  log5 (x)

3 = log5 (x)

We know log a (b) =c  can be written as a^c =b

5^3 = x

125 =x

sergey [27]3 years ago
6 0

Answer:

x = 125

Step-by-step explanation:

log2(24) - log2(3) = log5(x)

log2(8×3) - log2(3) = log5(x)

log2(8) + log2(3) - log2(3) = log5(x)

log(8) = log5(x)

log2(2³) = log5(x)

3log2(2) = log5(x)

3 = log5(x)

x = 5³

x = 125

You might be interested in
Can you graph X-intercept -3,-2,-1,1 and Y-intercept 5,2,-1,-3
arlik [135]

--Answer--

It's in the picture, desmos will help for graphing.

7 0
3 years ago
Read 2 more answers
A pair of pants with a marked price of $35.00 has a discount of 20%. How much is the discount? Can someone help me learn to do p
andreyandreev [35.5K]
When you see a "%" you need to ask " a percent of what"?

Here, it's a percent of the original prize, so the discount is 20% of the original prize, that is 20% of 35.

20% is also 20/100 or 1/5, so we can calculate this like this:

\frac{1}{5} *35=7

so the discount is 7 dollars.
6 0
2 years ago
Given the following functions f(x) and g(x), solve (f + g)(3) and select the correct answer below:
kati45 [8]
(f+g)(3) = f(3) + g(3) = 6(3) + 3 + 3 -7 = 18 +6 -7 = 17.

Answer: 17
8 0
2 years ago
Read 2 more answers
Calculate the average between 200 and 4100
yKpoI14uk [10]
<span>4300 / 2 = 2150

Just simply divide</span>
8 0
3 years ago
Read 2 more answers
A paper has an area of 84 square inches.what is the paper’s area in square centimeters
Angelina_Jolie [31]

Answer:

546

Step-by-step explanation:

Each square inch is equal to 6.5 square centimeters so you can multiply

84 × 6.5 = 546So, the area is 546 square centimeters.

Hope this helps =>

6 0
2 years ago
Read 2 more answers
Other questions:
  • Maria invited 4 of her friends over for a water balloon fight in the back yard. At the start of the game Maria Gabe each of her
    13·1 answer
  • Which functions have graphs that are less steep than the graph of f(x)= -4x^2
    6·1 answer
  • What is the relationship between a and b? last answer is none of the above!
    10·2 answers
  • How many kilograms of water is in a 66-kg person
    8·2 answers
  • The owner of a bike shop sells unicycle and bicycles and keeps inventory by counting seats and wheels. One day she counts 20 sea
    8·2 answers
  • Which of the following is an equivalent form of the compound inequality −22 &gt; −5x − 7 ≥ −3? (1 point)
    7·2 answers
  • Distance Between Two Ships Two ships leave the same port at noon. Ship A sails north at 18 mph, and ship B sails east at 17 mph.
    7·1 answer
  • Which point is a solution to the inequality shown in this graph?
    15·2 answers
  • Line A is represented by the equation given below:
    12·1 answer
  • Show work for number one please!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!