License plates in a particular star display 3 letters followed by 4 numbers. How many different license plates can be manufactured

80x^8−68x^6+16^5−20x^4−4x^3+8x^2

hope i'm right lol

take the logarithm of both sides (the base of the log doesn't matter):

apply the exponent property - this says that :

distribute the log terms on both sides:

group like terms together:

divide through both sides by the coefficient on :

you can do some additional rewriting here using the properties of the logarithm to simplify things if you like: