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Solve for x: |
Answer |
1. |
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• Take e of both sides to eliminate the ln
• Remember that ex and ln x are inverse function (one undoes the other). |
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2. |
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• Isolate the log expression
• Choose base 10 to correspond with log (base 10)
• Apply composition of inverses and solve. |
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3. |
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• Choose base 5 to correspond with the log base of 5.
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4. |
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• Isolate the ln expression first. |
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5. |
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• You will need to use the log properties to express the two terms on the left as a single term.
• Remember that log of a negative value is not a real number and is not considered a solution. |
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6. |
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7. |
Using your graphing calculator, solve for x to the nearest hundredth.
Method 2: Place the left side of the equation into Y1 and the right side into Y2. Under the CALC menu, use #5 Intersect to find where the two graphs intersect.
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Method 1: Rewrite so the equation equals 0.
Find the zeros of the function.
Both values are solutions, since both values allow for the ln of a positive value. |