SOLUTION: i want the answer of this question with steps and without logarithm formula
5=10^x
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Question 714766: i want the answer of this question with steps and without logarithm formula
5=10^x
Answer by jsmallt9(3758) (Show Source): You can put this solution on YOUR website!
What does "without logarithm formula" mean? If it means ...- without using logarithms, then it will be impossible to express the exact answer without logarithms. This is so because no one knows what power of 10 results in a 5. The best one could do is...
- use a graphing technique to find an approximate value for x:
- Subtract 5 from each side which gives us:
- Use a graphing calculator to graph the related equation:
- Use the trace function on your calculator to find the x-coordinate of the point where the graph crosses the x-axis (where the y-coordinate is zero).
- Use techniques learned in Calculus
- express the answer without logarithms, then...
- Fing the base 10 log , "log", of each side:
- Use a property of logarithms, , to move the exponent on the 10 out in front of the log:
Since log(10) = 1 this simplifies to:
This is an exact expression for the solution. To express this without logarithms, we can use our calculators to find a decimal approximation for log(5), making x approximately equal to: 0.69897000433601880478626110527551
- Other???
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