SOLUTION: I'm having some trouble w/ this problem and would appreciate any help: 8^x = 1/128 I came up with this answer: X = 1/ 1024 I'm not sure what I did wrong, but I could use s

Algebra.Com
Question 1040323: I'm having some trouble w/ this problem and would appreciate any help:
8^x = 1/128
I came up with this answer: X = 1/ 1024
I'm not sure what I did wrong, but I could use some help please! Thank you!
Found 4 solutions by josmiceli, addingup, ikleyn, MathTherapy:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!


--------------------



The exponents have to be equal


--------------------
Check the answer:




error due to rounding off
Answer by addingup(3677)   (Show Source): You can put this solution on YOUR website!
Solve for x:
8^x = 1/128
:
Take the logarithm base 8 of both sides:
x = (2i*pi*n)/(log(8))-7/3
Answer by ikleyn(52817)   (Show Source): You can put this solution on YOUR website!
.
.


Answer by MathTherapy(10555)   (Show Source): You can put this solution on YOUR website!

I'm having some trouble w/ this problem and would appreciate any help:
8^x = 1/128
I came up with this answer: X = 1/ 1024
I'm not sure what I did wrong, but I could use some help please! Thank you!
No, you're incorrect. It appears as though you multiplied the base on the left with the denominator on the right. Can't work!!



 ------- Substituting 

 ------ Applying 

3x = - 7 ---------- Equating exponents since bases are equal

 

RELATED QUESTIONS


I'm having some trouble w/ this problem and could use some help please:

I need to... (answered by ikleyn)

Hi, I have this problem to solve, and would really appreciate some help:     |5-2x|>3
I... (answered by tutorcecilia)

I don't understand how to begin solving this problem..I would appreciate some... (answered by Earlsdon)

I'm having some issues w/ this problem and could use your help please!

x + 4 / x + 1... (answered by jim_thompson5910)

I am having trouble with this problem and I would appreciate any help:

5x^6y^2/x^8y

 (answered by stanbon)

Hi I'm having some trouble with this problem, we have to divide this algebraic... (answered by stanbon)

I am having trouble trying to figure out how the correct answer came to -4, when the... (answered by josmiceli)

I am trying to help my son with his homework.  I am having trouble with this problem. I... (answered by stanbon)

Will you please help me with this rational equation? I got it wrong on my test but still... (answered by oberobic)