Log(3^x-8)to the base3=2-x solve the equation.

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Solution

The above answer to the question is very simple i.e.,since both sides are equal the value becomes 2.
Clearly look into the solution.
log3(3x−8)=2−xlog3(3x-8)=2-x
Since −x-x contains the variable to solve for, move it to the left side of the equation by adding xx to both sides.
log3(3x−8)+x=2log3(3x-8)+x=2
Move 22 to the left side of the equation by subtracting it from both sides.
log3(3x−8)+x−2=0log3(3x-8)+x-2=0
The roots of this equation could not be found algebraically, so the roots were determined numerically.
x=2

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