Logarithmic Functions Daily Question: How do you rewrite logs and exponentials? How do you solve logs and exponentials?

LOGS EQUAL THE Exponent!

Is the inverse of an exponential function, Logarithmic Function Is the inverse of an exponential function,   x = log a y read: “x equals log base a of y”

Common Logarithm is Base 10     3

Natural Logarithm is Base e    

Convert to exponential form 1) 2) 3)

Convert to logarithmic form 4) 5) 6)

Now that we can convert between the two forms we can simplify logarithmic expressions.

Simplify “What is the exponent of that gives you 32?” 1) log2 32=x 2x = 32 x = 5 “What is the exponent of 3 that gives you 27?” 2) log3 27=x 3x = 27 x = 3 3) log4 2=x 4x = 2 x = 1/2 4) log3 1=x 3x = 1 x = 0

Evaluate try:

 

Use “One-to-One”

Solving Exponential Equations

Easy Example…