Exponential & Logarithmic Equations Worksheet With Answers - Math 11009, Section 5.3 Page 4
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8MATH 11009: EXPONENTIAL & LOGARITHMIC
4
EQUATIONS SECTION 5.3
Guidelines for solving exponential equations:
1. Isolate the exponential expression on one side of the equation.
2. Take the logarithm of each side in order to “bring down” the variable in the expo-
nent. (It does not matter which base you use on the logarithm as long as it is the
same on both sides.)
3. Solve for the variable.
x
Example 5. Solve
6e
= 30
3x
Example 6. Solve
4(5
) = 16
4x
Example 7. Solve
3 2 + 10
= 18
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