Bell Work

Evaluate using the Properties of Exponents1. xm * xn = ________

2. Xm= ________ 4. √x = _______ xn

(Rewrite with exponent)

3. (xm)n = __________

Quick Review of Logs

• logbb= ______

• ln e= _______

• ln 1 = _______

1

1

0

Properties of Logarithms

• log b (xy) = logbx+logby

• logb(x/y) =logbx – logby

• logbxp = p logbx

• ln (xy) = lnx + lny

• ln (x/y) = lnx – lny

• lnxp= plnx

ln(xy)= lnx + lnylogb(xy) = logbx + logby

• log3(5 * 2)=

• log7(2x)=

• log4(5xy)=

ln (3*2) =

ln (5x)=

ln (2ab)=

Log35 + log3 2

Log7 2 + log7 x

Log45+ log4x+ log4y

Ln 3 + ln 2

ln 5 + ln x

ln 2 + ln a + ln b

ln(x/y) = lnx – lnylogb(x/y) = logbx-logby

• Log 2 (3/5) =

• Log b (a/c) =

• Log b (7/x) =

• Ln(7/5) =

• Ln (a/b)=

• Ln (8/y)=

Logaxp = plogax ln xp= plnx

• Log5x3 =

• Ln x5 =

3 log 5x

5 ln x

Applying more than one property

• log10(5x3y)

log 5 + 3 log x + log y

• ln √(3x-5) 7½ ln (3x-5) – ln 7

Applying more than one property

• log3(3x)½

½ + ½ log3 x

• log3 3x½

1+½ log3x

Applying more than one property

• log 3x2y

• log5(x-4)⅗

• ln x3y2

z4

• ln (__x__) 2

x2 - 1

Using properties to condense• 2 ln (x+2) – ln x ½

• logx + 3 log (x+1)

• ½ln 3 + ½ln x

• ⅓[log2x + log2(x-4)]

Using properties to condense

• log x – log y

• 4 ln ( x-4) – 2 lnx

• log58 - log5t

• [4 ln x + 4 ln (x+5)] – 2 ln (x-5)

Write each logarithm in terms of ln 2 and ln 3

• ln 6

• ln _2_ 27

• ln 12

Write each logarithm in terms of ln 2 and ln 5

• ln 10

• ln 5 • 32

• ln 20

WITHOUT USING A CALCULATOR find the exact value of the logarithm

• log 5 (1/125)

• log 4 (-16)

• log42 + log4 32

WITHOUT USING A CALCULATORfind the exact value of the logarithm

• 3 ln e 4

• 2log3 81

• -log749

Evaluate using the calculator

• Calculators automatically use a base of 10 when you plug in a logarithm.

• When the base is something other than 10, you can still use the calculator but you MUST use the change of base formula.

• logax = log x OR ln x

log a ln a **EITHER WILL WORK**

Evaluate using the calculator

• log 2 58

• log 9 15

• log 3 7