Evaluating Logs
1) If it’s possible (without a calculator), find the value of \(x\) for each equation in the table.
1) If it’s possible (without a calculator), find the value of \(x\) for each equation in the table.
|
2) Which equations could you not solve for \(x\) without a calculator? Why?
3) The LOG button on your calculator has a unique function. Based on the values in the table above and the images of the TI and Desmos calculators below, what do you think the LOG function does? Check your hypothesis by testing more values from the table.
4) Using the log function on a calculator, find \(x\) for the values in the table that you couldn’t calculate mentally.
5) What is \(\log\ \left(0\right)\)? Why?
6) Based on your understanding of logs, solve for \(x\) (without a calculator).
a) \(\log 500 = x\)
b) \(\log 50,000 = x\)
c) \(\log x = 6\)
d) \(\log x = -6\)
Solutions