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

Algebra.Com
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)   (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.


RELATED QUESTIONS

Hi, Please help me to solve step-by-step on these questions. Thank you very much. 1.... (answered by stanbon)
suppose that 3^2x+1 = 12 Which of the following value is (1/81)^x ? a 1/4 b 1/8 c (answered by richwmiller)
Suppose that 3^(2x+1) = 12 Which of the following value is (1/81)^x ? a 1/4 b 1/8... (answered by jim_thompson5910)
1. A rectangular room has a length of 12 feet, a width of 14 feet, and a height of 8... (answered by Fombitz)
I've missed a lot of school because I've been sick and I'm trying to get all of my work... (answered by jsmallt9)
Solve # 25 – 34 Show Work Please if possible. 25. 32^2x-3 = 2 26. 9^2x+1 = 81... (answered by Alan3354)
Solve each of these system of equations. 1) x + 2y + z = 10 2x - y + 3z = -5 (answered by Alan3354)
Could someone help me evaluate each expression? a. 27^1/3 b. (81^1/4)^4 c. (32^1/5) (answered by rfer)
Thank you for your help! 2. $2,350 is invested in account paying 9% compounded... (answered by lwsshak3)