Exponentials and Logarithms 8.1-8.4

Exponent form

b^y=x

Logarithm form

logb^x=y

Change of base formula

logb x=(loga x)/(loga b)

loga 1=?

0

loga a=?

1

loga a^x=? or a^loga^x=?

x

If loga x=loga y, then __=__

x=y

ln (Ln)

natural log

ln1=?

0

ln e=?

1

ln e^x=?

x

If ln x=ln y, then __ = __

x=y

common log

log

natural exponent number; irrational

e

√x

x^(1/2)

3^√x

x^(1/3)

4^√x

x^(1/4)

3^√y^2

y^(2/3)