For what value of a does 9= (1/27)^a+3 ? -11/3 -7/3 7/3 11/3

Take the log to the base 3.

The appropriate choice is the first one ...

... -11/3

step-by-step explanation: you take each of the numbers and divide by the amount then you take the range

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.