Which of the following shows the equation log4 (x+6) = 2 rewritten using logarithms?

There are many ways as to how the logarithmic equation above can be rewritten into other forms of logarithmic equations. Remember that for log mn, this can be rewritten as log m + log n. That is,

log mn = log m + log n

The above equation can also be rewritten as,

log 4 (x+6) = 2

Answer:

log 4 + log (x + 6) = 2

Log4 (x+6) = 2 becomes 4^2 = (x+6) from the logarithmic laws So we basically have x+6 = 16. Simplifying we have x = 10.