1. To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable.
Problem 2: Solve for x in the equation
Answer: is the exact answer and
x=10.5427684616 is an approximate answer.
Solution:
is the exact answer and is an approximate answer.
Check: Let's substitute the approximate value of the answer in the original equation and determine whether the left side of the equation equals the right side of the equation after the substitution. Remember we rounded the answer; therefore, the left and right sides of the equation will most likely be very close but may not equal
Since the value of the left side of the equation is 3 when you substitute x
= 10.5427684616, and the right side of the equal is 3, you have proved your answer.
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