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
Vinil7 [7]
1 year ago
14

If Log 4 (x) = 12, then log 2 (x / 4) is equal to

Chemistry
1 answer:
Alexus [3.1K]1 year ago
8 0

The value of log₂(x/4) is 22. Using the properties of the logarithm, the required value is calculated.

<h3>What are the required properties of the logarithm?</h3>

The required logarithm properties are

logₐx = n ⇒ aⁿ = x; and logₐ(xⁿ) = n logₐ(x);

Where a is the base of the logarithm.

<h3>Calculation:</h3>

It is given that,

log₄(x) = 12;

On applying the property logₐx = n ⇒ aⁿ = x; here a = 4;

So,

log₄(x) = 12 ⇒ 4¹² = x

⇒ x = (2²)¹² = 2²⁴

Then, calculating log₂(x/4):

log₂(x/4) = log₂(2²⁴/4)

              = log₂(2²⁴/2²)

              = log₂(2²⁴ ⁻ ²)

              = log₂(2²²)

On applying the property logₐ(xⁿ) = n logₐ(x);

log₂(x/4) = 22 log₂2

We know that logₐa = 1;

So,

log₂(x/4) = 22(1)

∴ log₂(x/4) = 22.

Learn more about the properties of logarithm here:

brainly.com/question/12049968

#SPJ9

You might be interested in
In which state(s) of matter are the<br> particles free to move at Gut relative to<br> one another?
Colt1911 [192]
The answer is gas only.
hope this helps!
8 0
3 years ago
In what two places minerals are form?
larisa [96]
In earths surface or the bottom of the Ocean
3 0
3 years ago
List the names of the elements that make up the molecule?
garik1379 [7]

Answer:i nitrogen, oxygen, hydrogen

Explanation: " Molecules of most elements are made up of only one of atom of that element" well if you search it up

6 0
3 years ago
Read 2 more answers
Which of the following is true of solids?
Over [174]
<span>Answer: B. Ionic solids have higher melting points than molecular solids.
</span>
This is because the rest are false, as solids are able to melt, and do have melting points. Also, not all solids have the same melting points. 
5 0
3 years ago
Describe how experimental evidence led each of the following scientists: Dalton, Rutherford, Thompson, Chadwick and Bohr, to dev
nasty-shy [4]
Dalton Found out there was a small, hard indestructible sphere that is the smalles part of an element.He created his own Atomic Theory:
-All Matter is made up of small particles called atoms.
-Atoms cannot be created, destroyed, or divided into smaller particles.
-All atoms of the same element are identical in mass and size. The atoms of one element are different in mass and size from the atoms of other elements.
<span>-Compounds are created when atoms of different elements link together in definite proportions.
</span><span>Rutherford had found the positively charged nucleus in the middle of every atom using his Gold Foil Experiment. While doing this experiment, he expected these particles to just pass right through the foil but they bounced right back. He also proposed there were negatively charged electrons revolving around the nucleus.
</span><span>Thompson found negative electrons and inferred atoms also contain negative particles. He inferred there was a lump of positively charged material, with negative electrons throughout. He used the Raisins Bun Model to explain. 
</span>Chadwick <span>proved that it consisted of a neutral particle with about the same mass as a proton "Neutron"  is the name given to the particle</span>
Bohr 
believed Rutherford's prediction was correct, but it wasn't complete. Bohr proposed electrons could only move between energy levels, rather then being able to move everywhere.
6 0
3 years ago
Other questions:
  • Given the balanced equation representing a reaction:Cl2==&gt; Cl + Cl
    13·1 answer
  • Water could be made to boil at 105 C instead of 100 C by ____. (1 point) adding a lot of energy to the water increasing the exte
    14·2 answers
  • A 4.00 g mass of NaOH is dissolved in 5.00 mL of water. A 4.00-mL aliquot of this solution is then diluted to exactly 500 mL of
    14·1 answer
  • The decomposition reaction of carbon disulfide to carbon monosulfide and sulfur is first order with k = 2.80 ✕ ✕ 10−7 sec-1 at 1
    11·1 answer
  • Concentration measurements provide a quantitative measurement of the amount of solute that is dissolved in a given amount of sol
    14·1 answer
  • When Ben holds an ice cube in his hand, which transfer of energy is taking place ?
    10·2 answers
  • Pls help its really hard to do
    13·2 answers
  • Describe how a metal less reactive than carbon can be reduced from its ore
    6·2 answers
  • A phase diagram for elemental carbon is shown below.
    5·1 answer
  • omplete the relationship between ph and pka for each of the following atomic view pictures of a buffered solution.
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!