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## 10.2 Logarithms and Logarithmic functions

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**Graphs of a Logarithmic function verse Exponential functions**In RED y = 10x**Graphs of a Logarithmic function verse Exponential functions**In RED y = 10x , In Blue y = Log x The functions relate in which way?**The Main Concept of Logarithms**Remember the way an exponential function and a Logarithm function is related.**The Main Concept**Remember**Write in Exponential form**Log 4 16 = 2**Write in Exponential form**Log 4 16 = 2**Write in Logarithmic form**53 = 125**Write in Logarithmic form**53 = 125**Use the concept**Solve**Use the concept**Solve**Use the concept**Solve**Use the concept**Solve Why Greater then Zero?**Solve for x**Check your solutions**Solve for x**Check your solutions**Solve for x**Check your solutions They both work. What would make the answers not work?**This Logarithm is impossible**Try to solve Is there any x that would make it equal -27?**How do you solve**Evaluate the expression**How do you solve**Evaluate the expression**Homework**Page 536 # 21 – 39 odd, 47 – 59 odd**Homework**Page 536 # 22 – 40 odd, 48 – 58 odd