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
I don't understand how to solve these questions. One of the choices are picked, that is the wrong choice.
marishachu [46]
It would be (A) , the point 9 (38.9) only needs another point to be a whole tenth .
4 0
3 years ago
Read 2 more answers
A price of a car is 15400 before it is reduce by 8% <br> how much does it cost after the reduction
Marysya12 [62]

Answer:

14,168

Step-by-step explanation:

15400

Find 1% and times it by 8

Take away 8% from 15400

15400-1232=14168

5 0
3 years ago
Read 2 more answers
What’s the mathematical expression for “five times x is fewer than 12”
Musya8 [376]

Answer:

5x<12

Step-by-step explanation:

Five times x is equally 5x fewer than is equally < # 5x<12

3 0
3 years ago
Suppose x = 5 is a solution to the equation 4x − 3(x + a) = 2. Find the value of a that makes the equation true. Group of answer
xz_007 [3.2K]
Just replace all of the x’s with 5 and solve using order of operations. I will post what I got for my answer in the comments of the answer if you need it.
6 0
3 years ago
The distribution of scores on the SAT is approximately normal with a mean of mu = 500 and a standard deviation of sigma = 100. F
ella [17]

Answer:

a. 2.28%

b. 30.85%

c. 628.16

d. 474.67

Step-by-step explanation:

For a given value x, the related z-score is computed as z = (x-500)/100.

a. The z-score related to 700 is (700-500)/100 = 2, and P(Z > 2) = 0.0228 (2.28%)

b. The z-score related to 550 is (550-500)/100 = 0.5, and P(Z > 0.5) = 0.3085 (30.85%)

c. We are looking for a value b such that P(Z > b) = 0.1, i.e., b is the 90th quantile of the standard normal distribution, so, b = 1.281552. Therefore, P((X-500)/100 > 1.281552) = 0.1, equivalently  P(X > 500 + 100(1.281552)) = 0.1 and the minimun SAT score needed to be in the highest 10% of the population is 628.1552

d. We are looking for a value c such that P(Z > c) = 0.6, i.e., c is the 40th quantile of the standard normal distribution, so, c = -0.2533471. Therefore, P((X-500)/100 > -0.2533471) = 0.6, equivalently P(X > 500 + 100(-0.2533471)), and the minimun SAT score needed to be accepted is 474.6653

4 0
3 years ago
Other questions:
  • Order least to greatest: -5, -8, 2, 0, 3, 1, -1
    14·2 answers
  • write the interval shown on the number line as an inequality, using set notation, and using interval notation​
    7·1 answer
  • Rob 15 foot wire into 8 equal pieces .About how long is each piece?
    6·2 answers
  • JN is ? between angle J and angle <br>K
    11·1 answer
  • The price of a cell phone can be modeled by the equation:
    9·2 answers
  • Cna somone do this ty
    13·2 answers
  • SOMEONE PLS HELP ME: The sum of three consecutive EVEN numbers is 48. What are the smallest of these numbers?
    10·2 answers
  • Which set of decimals are in the correct order from smallest to largest?
    9·1 answer
  • Classify the triangle based on the side lengths 7. 15 and 21​
    14·1 answer
  • Please help me with this problem! Picture Included!!
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!