Let x represent the number. Use the given conditions to write an equation. Solve the equation and find the number. A number increased by 4 is two times the number.

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:

is their an equation anywhere i can take a   look at it and see if i am right.