How to Do Log on a Calculator

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Reviewed by: David Chen, CFA, Fitness Specialist Last Updated: October 2023 (Compliance AR 600-9)

Determine your compliance with the U.S. Army’s weight and body fat standards (AR 600-9). This calculator uses the updated circumference method to provide your estimated Body Fat Percentage and compare it against the maximum allowable limits.

New Army Body Fat Calculator

Your Estimated Body Fat:
— %
Awaiting Input

New Army Body Fat Calculator Formula

Male Formula: %BF = 86.010 × log10(Waist – Neck) – 70.041 × log10(Height) + 36.76

Female Formula: %BF = 163.205 × log10(Waist + Hip – Neck) – 97.684 × log10(Height) – 78.387

Source: Army.mil Official Publication

Variables:

  • Gender: Biological sex affects fat distribution patterns.
  • Height: Measured to the nearest 0.5 inch.
  • Waist: Measured at the navel for both genders (2023 Update).
  • Neck: Measured below the larynx.
  • Hips (Women only): Measured at the widest point of the buttocks.

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What is the New Army Body Fat Calculator?

The New Army Body Fat Calculator is a tool designed to verify if a soldier meets the body composition standards set forth in Army Regulation 600-9. While the Army uses height and weight screening as a first pass, the “Tape Test” remains the official method for determining body fat percentage for those who exceed the screening weight.

In 2023, the Army updated its procedures to improve accuracy and simplify the process. This calculator integrates the standard multi-site circumference method, which remains a reliable predictor of body fat in military populations.

How to Calculate Body Fat (Example)

  1. Measure Height: Stand tall, eyes forward. Example: 70 inches.
  2. Measure Neck: Measure just below the Adam’s apple. Example: 16 inches.
  3. Measure Waist: Wrap the tape at the navel level. Example: 36 inches.
  4. Apply Logarithms: Calculate $(36-16)$ which is $20$. Take the $log10(20)$.
  5. Compute Total: Multiply by the coefficients and add the constant to find the final percentage.

Frequently Asked Questions (FAQ)

Is the 2023 one-site tape test included? The Army’s latest policy allows for a one-site navel measurement for some groups, but the circumference method provided here is the comprehensive fallback used for administrative actions.

What is the maximum body fat for my age? Limits vary: 17-20 (20% M, 30% F), 21-27 (22% M, 32% F), 28-39 (24% M, 34% F), 40+ (26% M, 36% F).

Can I use centimeters? No, official Army AR 600-9 calculations require measurements in inches (to the nearest 0.25 inch).

What happens if I fail the tape test? Soldiers exceeding the limit are enrolled in the Army Body Composition Program (ABCP) to receive nutrition and fitness guidance.

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