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Adison Shannon
Mathematics
26 September, 00:52
Solving an exponential equation
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Lilyana Tucker
26 September, 01:09
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To solve an exponential equation, take the log of both sides, and solve for the variable.
Step-by-step explanation:
Example 1: Solve for x in the equation tex2html_wrap_inline119.
Solution:
Step 1: Take the natural log of both sides:
displaymath121
Step 2: Simplify the left side of the above equation using Logarithmic Rule 3:
displaymath123
Step 3: Simplify the left side of the above equation: Since Ln (e) = 1, the equation reads
displaymath127
Ln (80) is the exact answer and x=4.38202663467 is an approximate answer because we have rounded the value of Ln (80) ...
Check: Check your answer in the original equation.
displaymath131
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