SOLUTION: Thank you in advance for helping me with this problem. (1/8)^-2t=2^t+3

Algebra.Com
Question 176825This question is from textbook college algebras
: Thank you in advance for helping me with this problem.
(1/8)^-2t=2^t+3
This question is from textbook college algebras

Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Rewrite as


Multiply the exponents.


Since the bases are equal, the exponents are equal.


Set the exponents equal to one another.


Subtract from both sides.


Combine like terms on the left side.


Divide both sides by to isolate .


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

Answer:

So the answer is

RELATED QUESTIONS

Thank you in advance for helping me with writing this problem in interval notation.... (answered by stanbon)
Thank you in advance for helping me with writing this problem in interval notation. The... (answered by jim_thompson5910)
Thank you in advance for helping me with this problem: {{{ sqrt (p^2q^4)/ sqrt(pq) }}} (answered by ankor@dixie-net.com,Alan3354)
Thank you in advance for helping me with this problem. (4^x)(16^3x-1)=8 This is what... (answered by Earlsdon)
Thank you in advance for helping me with writing this problem in interval notation. The... (answered by jim_thompson5910)
Thank you in advance for helping me with this equation. sqrt(-2x-7) + sqrt(x+9)=... (answered by jim_thompson5910)
Thank you in advance for helping me with this problem. I need to find the (f o g)x and (answered by Fombitz)
Thank you in advance for helping me double check this problem. 27^4x=9^x+1 this is what (answered by jim_thompson5910)
i was wondering how would you do this problem and find its products : (x+3)^3 and... (answered by jim_thompson5910,RAY100)