Exponential

Logarithmic

Solving logarithmic and exponential functions

To solve an exponential function it is easiest to first create equal bases, cancel them out, and then solve for the variable in the exponents.

Ex: 2^x=32
So to solve you would find what exponent to use when the base is 2 to equal 32
This would be 2^5
Cancel out bases
X=5

To solve logarithmic functions there are certain properties you must know:

Equality property- where 2 logs with same bases are equal to each other, arguments are also equal to each other
Ex: if log4 X = log4 Y then X=Y

Product property- if two or more logarithmic expressions with same base are added, multiply the arguments
Ex: log8 5 + log8 G + log8 4=
log8(5*G*4) = log8 20G

Quotient property- if two or more logarithmic expressions with same base are subtracted, divide first argument by second
Ex: log8 10 - log8 5
Log8 10/5
Log8 2

Power property- if there is an exponent on the argument, that means that the exponent could be moved to become the coefficient of the expression
Ex: log8 2^3 = 3 log8 2