Ratio Calculator
Modify the values and click the calculate button to use
Please provide any three values below to calculate the fourth in the ratio A:B = C:D.
Ratio Scaling Calculator
What is Ratio?
A ratio is a quantitative relationship between two numbers that describe how many times one value can contain another. Applications of ratios are fairly ubiquitous, and the concept of ratios is quite intuitive. This could likely be demonstrated by giving a child half as many cookies as his sister. While the child may not be able to voice the injustice using ratios, the raucous protestations that would most likely ensue should make it immediately obvious that he is well aware he has received 1:2 as many cookies as his sister, conceptually, if not mathematically.
As shown above, ratios are often expressed as two numbers separated by a colon. They can also be written as "1 to 2" or as a fraction ½. The ratio represents the number that needs to be multiplied by the denominator in order to yield the numerator. In this case, ½. This is clearer if the first number is larger than the second, i.e. with the ratio 2:1, 2 can contain 1, 2 times. It is also possible to have ratios that have more than two terms.
Typical Aspect Ratios and Sizes of Screens and Videos
The aspect ratio is the ratio of a geometric shape's sizes in different dimensions. In the case of a rectangle, the aspect ratio is that of its width to its height. Although aspect ratios are widely used in applications such as tire sizing, paper sizing, and standard photographic print sizes, some of the most frequent uses of aspect ratios involve computer screen dimensions, mobile phone screens, and video sizes. As such, below is a list of typical computer screen/video resolutions and aspect ratios.
| Name | Aspect ratio | Width (pixel) | Height (pixel) |
|---|---|---|---|
| 480p | 3:2 | 720 | 480 |
| 576p | 5:4 | 720 | 576 |
| 720p | 16:9 | 1280 | 720 |
| 1080p | 16:9 | 1920 | 1080 |
| 2160p (4K UHD) | 16:9 | 3840 | 2160 |
| 4320p (8K UHD) | 16:9 | 7680 | 4320 |
| 8640p | 16:9 | 15360 | 8640 |
| SVGA | 4:3 | 800 | 600 |
| WSVGA | ~17:10 | 1024 | 600 |
| XGA | 4:3 | 1024 | 768 |
Logarithm Calculator - A Powerful Tool for Mathematical Calculations
Overview
For professionals, scientists, engineers, and students who regularly work with logarithmic functions, a logarithm calculator is a vital online tool. This calculator makes it easier to solve complicated equations, analyze exponential growth, and work with logarithmic scales by enabling you to compute logarithms with any base, including base 2 (binary logarithm), base 10 (log), and natural logarithm (ln).
This article will examine:
✅ Describe a logarithm.
✅ How Do Logarithm Calculators Operate? Important Qualities of a Good Log Calculator
✅ Typical Real-World Applications of Logarithms
✅ How to Use Our Logarithm Calculator
✅ Keywords That Are SEO-Optimized for Ranking
✅ Why Our Tool Is Unique
🔹 What is a Logarithm?
The opposite of exponentiation is a logarithm (log). It responds to the query:
“To what extent must the base be raised in order to obtain a specific number?”
It is expressed mathematically as:
📌 logₐ(b) = c ⇔ aᶜ = b
Logarithm types include the Common Logarithm (log₁₀) at Base 10, which is frequently utilized in engineering and science.
Calculus and physics use the Natural Logarithm (ln or logₑ) – Base *e* (Euler’s number ≈ 2.718).
Base 2 is the binary logarithm (log₂), which is crucial for data algorithms and computer science.
🔹 How Do Logarithm Calculators Operate?
You can calculate any missing variable in the equation using our logarithm calculator:
Logₐ(b) = c
The calculator will determine the third value if you enter any two.
Calculation Examples: Determining the Exponent (c):
Given: Argument (b) = 100, Base (a) = 10.
Because 10² = 100, the calculation is log₁₀(100) = 2.
Locating the Base (a):
Given: Exponent (c) = 3, Argument (b) = 8.
Logₐ(8) = 3 ⇒ a³ = 8 ⇒ a = 2 is the calculation.
Identifying the Argument (b):
Base (a) = 2 and Exponent (c) = 5 are given.
Log₂(b) = 5 ⇒ b = 2⁵ = 32 is the calculation.
🔹Crucial Elements of an Effective Log Calculator
What makes our logarithm calculator unique is:
✅ Multi-Base Support: Compatible with log₁₀, log₂, ln (logₑ), and any custom base.
✅Simple input fields with unambiguous instructions make up the user-friendly interface.
✅ Error Handling: Prevents incorrect inputs, such as logs with negative values.
✅ Detailed explanations: These aid users in comprehending the computation procedure.
✅ Desktop & Mobile Friendly: It functions flawlessly on all gadgets.
🔹Common Real-World Applications of Logarithms
There are practical uses for logarithms in addition to their theoretical use:
🔹 Science & Engineering: Richter scale (earthquake magnitude), pH scale (logarithmic).
🔹 Finance: Calculating compound interest and exponential growth.
🔹 Big-O notation for algorithm complexity in computer science.
🔹 Medicine: Determining the decibel level of sound.
🔹 Data Analysis: Improve visualization with logarithmic scaling in graphs.
🔹 Keywords Optimized for Search Engine Ranking
We focus on these popular keywords in order to rank highly on Google and Bing:
🔎Logarithm Calculator
🔎 Online Log Calculator Natural Log Calculator (ln)
🔎 Common Logarithm (log10)
🔎 Binary Logarithm (log2) 🔎 Inverse Logarithm Calculator
🔎 How to Calculate Logs
🔎 Logarithmic Equations Solver
🔎 Exponent and Log Calculator
🔎 Free Math Resources for Students