laws of logarithms - dartmouth college · laws of logarithms 1. ln(xy) = ln x +ln y 2. ln x y = ln...

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Laws of Logarithms

1. ln(xy) = lnx + ln y

2. ln(

x

y

)= ln x− ln y

3. ln(xr) = r lnx

Laws of Natural Exponents

1. ex+y = exey

2. ex−y =ex

ey

3. (ex)r = erx

Laws of General Exponents

1. ax+y = axay

2. ax−y =ax

ay

3. (ax)y = axy

4. (ab)x = axbx

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