bell ringer (in math journal)
DESCRIPTION
Bell Ringer (in Math Journal). How can you convert from exponential to logarithmic form? What base is the log button on your calculator? What are the laws of exponents?. Logarithmic Equations. Monday, October 20, 2014. remember. To convert from an exponential 2 5 = 32 → log 2 32 = 5 - PowerPoint PPT PresentationTRANSCRIPT
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.