1. To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable.
Problem 1: Solve for x in the equation
Answer: is the exact answer and
x=104.142857143 is an approximate answer.
Solution:
is the exact answer and is an approximate answer.
Check: Let's substitute the approximate value in the answer and determine whether the left side of the equation equals the right side of the equation after the substitution. Remember we rounded the number and the answer is only a close approximation, so the left and right side of the equation will most likely be very close but not equal; it depends on the number of decimals were rounded in your answer
or
Since the value of the left side of the equation is very close to 10 when
you substitute the value of x, and the right side of the equal is 10, you
have proved your answer. It won't check exactly because we rounded the value of x.
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Author: Nancy Marcus