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log(2^x-3)+x=2 equation

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Numerical solution:

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The solution

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   / x    \        
log\2  - 3/ + x = 2
$$x + \log{\left(2^{x} - 3 \right)} = 2$$
The graph
Numerical answer [src]
x1 = 2.0
x1 = 2.0