iSlideRule Scales - L
"L" Scales
L
The L scale is a linear log scale used to obtain the common (log to base 10) of a number on the fundamental D scale.  This scale is normally on the top or bottom rule, but may be on the slide where it would be used with the C scale instead.

Formula: L = log10 X
LC
The LC scale is used in electronics calculations to compute the resonant frequency of an electrical circuit.  It is similar to the H scale, but using different units.

Formula: LC = 1 / ( 2π² × X² )
LL
The LL scale is a log-log scale used to calculate powers.  This scale is similar to the LL0 - LL3 scale set below, covering the majority of the range of those scales in one scale, so results are less precise.  This scale ranges from 1.01 to 10,000.
LL0
The LL0 scale is used to raise numbers to powers greater than one.  This is used when the normal power scales such as A/B, J/K, and F are unsuitable.  These scales allow raising values to non-integer powers.

Formula: LL0 = e0.001x
LL1
The LL1 scale is used to raise numbers to powers greater than one.  This is used when the normal power scales such as A/B, J/K, and F are unsuitable.  These scales allow raising values to non-integer powers.

Formula: LL1 = e0.01x
LL2
The LL2 scale is used to raise numbers to powers greater than one.  This is used when the normal power scales such as A/B, J/K, and F are unsuitable.  These scales allow raising values to non-integer powers.

Formula: LL2 = e0.1x
LL3
The LL3 scale is used to raise numbers to powers greater than one.  This is used when the normal power scales such as A/B, J/K, and F are unsuitable.  These scales allow raising values to non-integer powers.

Gauge marks are located at π and τ.

Formula: LL3 = ex
LL/0
The LL/0 scale (or log-log scales) is an exponential power scales used to raise values to powers less than one.

Formula: LL/0 = e-x
LL/1
The LL/1 scale (or log-log scales) is an exponential power scales used to raise values to powers less than one.

Formula: LL/1 = e-0.1x
LL/2
The LL/2 scale (or log-log scales) is an exponential power scales used to raise values to powers less than one.

Formula: LL/2 = e-0.01x
LL/3
The LL/3 scale (or log-log scales) is an exponential power scales used to raise values to powers less than one.

Formula: LL/3 = e-0.001x
Ln
The Ln scale, or natural log scale is used to determine the nature log of numbers from the fundamental scales.

Formula: Ln = loge X

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