Level 3 Engineering Principles - Algebra Info and Equations Sheet

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LEVEL 3 ENGINEERING PRINCIPLES - ALGEBRA INFORMATION & EQUATIONS Laws of Indices

a Ă— a = a( a = a( a

)

)

(a ) = a Laws of Logarithms

log A + log B = log (AB) log A − log B = log

A B

log A = n(log A) Exponential Growth and Decay

Exponential Growth

Exponential Decay

a(t) = value after t time periods

a(t) = a(0)đ?‘’

a(0) = value at time zero (initial value) k = rate of growth / decay, per time period

a(t) = a(0)đ?‘’

t = number of time periods


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