SOLUTION: Please help me find the value of x! (2)^3x = (16)^x+2

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Question 650884: Please help me find the value of x!
(2)^3x = (16)^x+2

Found 2 solutions by ewatrrr, jim_thompson5910:
Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,



3x = 4(x+2)
3x = 4x + 8
-8 = x
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Hint:

(2)^3x = (16)^x+2

(2)^3x = (2^4)^x+2

(2)^3x = 2^(4(x+2)

Since the bases are equal (to 2), the exponents must be equal, so..

3x = 4(x+2)

I'll let you finish

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