To solve an exponential equation, take the log of both sides, and
solve for the variable.
Problem 3: Solve for x in the equation
Solution:
is the exact answer and x=0.916290731874 is an approximate answer.
Take the natural log of both sides. and
is the exact answer and
is an approximate answer.
Check: Let check both answers with the original problem. If when the value of x is substituted in the left side of the equation, the value of the left side of the equation equals the right side of the equation (in this case 0), you have found the correct answer. You could also check the values of x with the x-intercepts on your graph. They should be the same.
They do and you have worked the problem correctly.
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Author: Nancy Marcus