The Joe Llama library is redoing their inventory system. Books will be given unique codes that consist of 4 upper case letters from A to Z followed by a numbers from 0 to 9. What is the maximum number of books that the library could assign codes to using this system?

PLEASE HELP

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

step-by-step explanation:

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: