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The Natural Exponential Function

The exponential function
f(x) = e^x with base e 
LOGaX = Y <> a^y = x


Compound interest formula

A(t) = P( 1 + r/n )^nt

Continuously compounded interest

A(t) = Pe^rt

log(AB) = ?

logA + logB

log(A/B) = ?

logA  logB

log(A^C) = ?

C*logA

Guidelines for Solving Logarithmic Equations

1) Isolate the logarithmic term on one side of the equation; you may first need to combine the logarithmic terms.
2) Write the equation in exponential form. 3) Solve for the variable. 