Unit 7 Exponential and Log Functions

1-5

100

Convert to a log:

6^x=18

log₆18=x

200

Convert to a log.

e^(x+5)=54

ln54=x+5

300

Condense.

1/3log27+log(x+3)

log(3x+15)

400

Expand:

log_x16

2log_x4.......log_x8+log_x2....

log_x432-3log_x3

500

Expand:

log(b^5/a^6)

5logb-6loga

6-10

100

Solve for x.

log₃(3x-11)=log₃(25-x)

x=9

200

Solve for c:

log₂ 4 + log₂ (c-9)=5

c=17

300

Which property of logarithms is this?

log_b(m x n) = log_bm + log_bn

Product Property

400

Which property of logs does this represent?

logm^n=nlogm

Power Property

500

Solve for y; round to four decimal places:

5^(8-2y)-10=45

y= 2.7551

11-15

100

What property of logs is this?

log(m/n)=logm-logn

Quotient Property

200

Evaluate the expression below; round to four decimal places.

log₅16

1.7227

300

Solve for w; round to the nearest hundredth:

2ln w + 6=9

w=4.48

400

Solve for k:

log₂₇(11-2k)= 

1/3

k=4

500

Evaluate; round to 4 decimal places:

ln 16

2.7726