# If the graph of #y=AB^x# passes through the points (2,3) and (5,81), then what is the value of B?

##### 1 Answer

Feb 27, 2017

#### Explanation:

Substitute the 2 given points into the equation.

#(2,3)to3=AB^2to(1)#

#(5,81)to81=AB^5to(2)#

#"dividing "(2)" by " (1)#

#rArr(cancel(A)B^5)/(cancel(A)B^2)=81/3#

#rArrB^3=27#

#rArrB=3#