If the first term of a geometric sequence two and the common ratio is four what is the sixth term of the sequence

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:

2/3=10/15

1/5=3/15

10+3=13/15

2 13/15 is the answer