SOLUTION: how to solve each of these questions a.) 2x=1/32 b.) 120x=25 c.) (4/9)^x= 81/16 thank you.......:)

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: how to solve each of these questions a.) 2x=1/32 b.) 120x=25 c.) (4/9)^x= 81/16 thank you.......:)       Log On


   

Question 274430: how to solve each of these questions
a.) 2x=1/32
b.) 120x=25
c.) (4/9)^x= 81/16
thank you.......:)



Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
how to solve each of these questions
a.) 2x=1/32
Multiply both sides by (1/2)
x = (1/2)(1/32)
x = 1/64
--------------------------------
b.) 120x=25
Divide both sides by 120 to get:
x = 25/120
x = 5/24
----------------
c.) (4/9)^x= 81/16
Invert the left side:
(9/4)^-x = (9/4)^2
----
-x = 2
x = -2
===============
Cheers,
Stan H.