SOLUTION: Algebraically solve:
a)sq root 125^x = (25)(5^-2x)
b)4^(-2x+1)=sq root8 I got 1/8 but was told that I was wrong ?!?!
c)3x^-3 = 81 ???
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Question 279564: Algebraically solve:
a)sq root 125^x = (25)(5^-2x)
b)4^(-2x+1)=sq root8 I got 1/8 but was told that I was wrong ?!?!
c)3x^-3 = 81 ???
Answer by Alan3354(69443) (Show Source): You can put this solution on YOUR website!
Algebraically solve:
a)sq root 125^x = (25)(5^-2x)
If it's , then
=
-----
or = (5^(3x/2)), hard to see it
---------------------
b)4^(-2x+1)=sq root8 I got 1/8 but was told that I was wrong ?!?!
2-4x = 3/2
4-8x = 3
8x = 1
x = 1/8
------------
Check:
4^(1- 1/4) = sqrt(8)
4^(3/4) = 2^(3/2) = sqrt(8)
It is 1/8, who says it's wrong?
--------------
c)3x^-3 = 81 ???
x^-3 = 27
x^-1 = 3
x = 1/3
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