SOLUTION: I've been looking at this question for the past 15 minutes and am having no luck. 8(2^(x+1)) = 2 sqrt(2^x) Thank you for the help!

Algebra.Com
Question 1037110: I've been looking at this question for the past 15 minutes and am having no luck.
8(2^(x+1)) = 2 sqrt(2^x)
Thank you for the help!

Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

Instead of doing yours for you, I'll do
one exactly like yours step by step. 
You can then do your equation exactly
the same way:



Divide both sides by 3



Square both sides:



Multiply the exponents on the left,
the outer 2 by the inner exponent 2x+4:



Write 81 as 34



Add the exponents of 3 on the left:



Since the bases are same positive numbers
on both sides and they are not equal to 1,
we may set the exponents equal to each other
and ignore the bases:













Now use the above as a model and solve yours 
exactly the same way, step by step.

Edwin

RELATED QUESTIONS

Solve the following equation for x: 3^2^x =15 not sure how to solve this. Ive been (answered by Earlsdon)
I've been trying to solve this for a few days and am having no luck and need some help... (answered by Edwin McCravy)
Hello to all! I have been tackling this problem for the past 4 hours, and sadly with no... (answered by greenestamps,ikleyn)
I am looking for a non-profit tutor. I am having problems understanding the process of... (answered by Mathtut)
Hi, ive been asked to answer the following logarithm questions, with great difficulty,... (answered by stanbon)
i am looking for the solution and explanation of this problem x^2-9x+20=0 thank... (answered by sofiyac)
Find the equation of the circle touching line x-2y=3 at (-1,-2) and having radius sqrt(5) (answered by Alan3354)
I am having trouble with solving for x in the following equation: {{{ (x+1)/(x-3)=x+2... (answered by stanbon,edjones)
Please help me with this problem: How do I put the following in standard form??... (answered by jim_thompson5910)