- #1
mdnazmulh
- 51
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Homework Statement
what is the procedure to solve the following equation for x?
2^x + 6x = 16
Homework Equations
The Attempt at a Solution
I tried as following but it didn't work,
2^x + 6x = 16
2^x + 6x = 2^4
2^x + 6x = 2^4
(2^x) / 2^4 + (6x)/ 2^4 = 1
2^(x-4) + 6x/16 = 1
2^(x-4) + 3x/8 = 1
taking LCM,
8[2^(x-4)] + 3x = 8
[2^3][2^(x-4)] + 3x = 8
2^(x-1) + 3x = 8
after this stage I couldn't go farther..
The answer is x=2, but how to obtain it?