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How to solve x+3^x=12 ?
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\(f(x)=x+3^x\) is an increasing function so clearly there is a one real root on the interval (2,3)... i would say use numerical methods...
Yes, but how do I find the actual value?
no way to solve it analytically
What way is there then?
numerical methods like newton-raphson..
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Don't such methods only offer close approximations?
yes just close approximations..
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