8.4-8.5 Review

Rewrite Logs

100

Rewrite in Exponential Form:

log₉81=2

9²=81

200

Rewrite in Exponential Form

log₄(1/64)=-3

4^-3=1/64

300

Rewrite in Logarithmic Form

4^x=73

log₄73=x

400

Rewrite in Exponential Form

log_ab=c

a^c=b

500

Rewrite in Logarithmic Form

x^y=z

log_xz=y

Simplify

100

log₈8^5x

5x

200

log10^y

y

300

e^ln4x

4x

400

Use you Calculator: log₃45

3.465

500

Use your Calculator: ln347

5.849

Inverse

100

Find Inverse:

y=lnx

y=e^x

200

Find Inverse: 

y=log₄x

y=4^x

300

Find Inverse:

y=log₇(x+9)

y=7^x-9

400

Find Inverse:

y=ln3x

y=e^x/3

500

Find Inverse:

y=log₅(4x+2)

y=(5^x-2)/4

Expand

100

log₅xyz

log₅x+log₅y+log₅z

200

log₄x⁵y

5log₄x+log₄y

300

log₂x/y⁷z

log₂x-7log₂y-log₂z

400

ln3xz⁶/y

ln3+lnx+6lnz-lny

500

lnx^1/3y⁸/z²

1/3lnx+8lny-2lnz

Condense

100

log₂a+log₂b

log₂ab

200

ln9+lnx+lny

ln9xy

300

5log₇a-3log₇b

log₇a⁵/b³

400

2log4+4logx-6logy

log16x⁴/y⁶

500

1/2log₄a+5log₄b-log₄c-8log₄d

log₄(a^1/2b⁵)/(cd⁸)