Functions | Exponential Functions |

Language | English Language |

Precalculus | Exponential and Logarithmic Functions |

greater than 1 and we're multiplying it by itself X number of times it's

going to keep getting bigger in which case we have a growing function like our

waistline if on the other hand it's smaller than 1 then multiplying it [formula appears on whiteboard]

fights out they're just gonna keep shrinking resulting in it decaying function.....

alright now that we know what these equations look like and what their [Man staring at exponential equation]

exponents do to them we're ready to start solving so if we've got an

exponential equation like 7 to the X power equals 7 to the y minus 3 power

well then we can thank our lucky stars this ones a snap if the two sides [Shadow of hand clicks fingers]

are equal and the bases are the same then the two exponents must be equal as

well meaning that x equals the y -3 boom done if the bases are not the same but [Man and woman high five on a sofa]

have a common denominator like this way then we can fiddle with them until they

do have the same base in this case we can write 16 as 4 squared then just take

that 2 exponent and distribute it through the original exponent which

gives us 4 to the power of 4x plus 12 now both sides have 4 for a base so 4x

plus 12 equals 5x subtract 4x from both sides

and x equals 12 and that's pretty much the gist [Boy reading a book]