You wish to make an investment at 3% interest. How long will it take your investment to double at simple interest, compounded quarterly, and compounded continuously? Round to the nearest tenth of a year.

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:

step-by-step explanation:

step-by-step explanation:

↓↓↓↓↓↓↓↓↓

step-by-step explanation:

this is a parabola.