bell ringer (in math journal)

BELL RINGER (IN MATH JOURNAL)

1.How can you convert from exponential to logarithmic form?

2.What base is the log button on your calculator?

3.What are the laws of exponents?

LOGARITHMIC EQUATIONS

Monday, October 20, 2014

REMEMBER

To convert from an exponential

25 = 32 → log2 32 = 5

And to convert from a logarithm to an

exponential

log2 32 = 5 → 25 = 32

PROPERTIES OF LOGS-- NOTES

There are 7 laws of exponents and 3 properties of logarithms

that you need to know. Remember, logarithms are the

inverse of exponentials and some rules apply…

PROPERTIES OF LOGS-- NOTES

Like “when you multiply, you add”

1) logb m + logb n= logb mn

PROPERTIES OF LOGS-- NOTES

And “when you divide, you subtract”

2) logb m – logb n = logb m n

PROPERTIES OF LOGS-- NOTES

And “when you raise a power to a power, you

multiply.”3) p logb m = logb mp

NATURAL LOG

ln means natural log.

The inverse of ln is e which

is a number like π.

The same rules apply.

SOLVING LOG EQUATIONS

1.If possible, simplify, get log

of the same bases equal and

“drop the log.”

2.If not, simplify and convert

to exponential form, then

solve.