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Visual Acuity conversion

Snellen 20/x denominators to LogMAR values Converter

Convert Snellen 20/x denominators to logMAR values using logMAR = log10(Snellen denominator ÷ 20). The formula is logMAR = log10(Snellen denominator ÷ 20); 1 20/x is -1.301 logMAR.

Base answer
1 20/x = -1.301 logMAR
Rounding
3 decimals
Formula type
Scale + offset
Conversion snapshot
From
Snellen 20/x denominators (20/x)

The denominator from a 20-foot Snellen visual acuity fraction, such as 40 in 20/40.

To
LogMAR values (logMAR)

The base-10 logarithm of MAR, often used in vision research and chart scoring.

Live converter
Snellen 20/x denominators to LogMAR values
Type a value in Snellen 20/x denominators. The result updates in your browser, with no sign-in or external API.
Formula
logMAR = log10(Snellen denominator ÷ 20)
20/x
Converted value
-0.301
logMAR (LogMAR values)
Common inputs:
How to convert Snellen 20/x denominators to logMAR values
Visual acuity conversions compare Snellen, decimal acuity, MAR, and logMAR notation used in chart references and research.

Start with your value in Snellen 20/x denominators, then apply the formula below. It stays visible so you can catch rounding mistakes instead of just copying the output.

Formula
logMAR = log10(Snellen denominator ÷ 20)

Use these values for notation comparison and documentation checks only. They do not diagnose vision problems or replace an eye exam.

Visual acuity notation is often rounded to chart lines, so the converted numeric value may be more precise than the original measurement. This page displays converted values with up to 3 decimal places by default.

Common Snellen 20/x denominators to LogMAR values conversions
Common reference values for Snellen 20/x denominators to logMAR values.
Values are calculated with logMAR = log10(Snellen denominator ÷ 20) and rounded for quick lookup.
Snellen 20/x denominatorsLogMAR values
10 20/x-0.301 logMAR
15 20/x-0.125 logMAR
20 20/x0 logMAR
25 20/x0.097 logMAR
40 20/x0.301 logMAR
80 20/x0.602 logMAR
200 20/x1 logMAR
Examples
Sample inputs using the same formula as the converter.
Example 1
10 20/x-0.301 logMAR

Useful for comparing eye chart notation systems. Use the same formula with your exact input if the measurement needs to be documented.

Example 2
25 20/x0.097 logMAR

Useful for translating research tables and clinical references. Use the same formula with your exact input if the measurement needs to be documented.

Example 3
200 20/x1 logMAR

Useful for checking educational vision examples. Use the same formula with your exact input if the measurement needs to be documented.

FAQs
These answers use the same formula as the converter above.
How do I convert Snellen 20/x denominators to logMAR values?

Enter the value in Snellen 20/x denominators and apply logMAR = log10(Snellen denominator ÷ 20). Round the logMAR values result after the conversion, not before.

What is 1 Snellen 20/x denominator in logMAR values?

1 20/x equals -1.301 logMAR with the current rounding setting. Keep more decimal places when the result feeds another calculation.

What is 10 20/x in logMAR?

10 20/x is -0.301 logMAR. It appears in the lookup table so you can compare it with nearby amounts.

Can I convert logMAR values back to Snellen 20/x denominators?

Yes. Use the reverse LogMAR values to Snellen 20/x denominators converter if you need to go the other direction.

How accurate is this Snellen 20/x denominators to logMAR values conversion?

The calculator runs the formula in your browser and rounds results to 3 decimal places by default. Visual acuity notation is often rounded to chart lines, so the converted numeric value may be more precise than the original measurement.