8.1 Basic Logarithms

Evaluating Logs

100

Evaluate each. Round to the nearest thousandth. 

log₇343

3

200

Evaluate each. Round to the nearest thousandth. 

log₄(1/64)

-3

300

Evaluate each. Round to the nearest thousandth. 

log₃343

3.402

400

Evaluate each. Round to the nearest thousandth. 

log 5

0.669

500

Evaluate each. Round to the nearest thousandth. 

ln 4.3

1.459

Rewrite in Exponential Form

100

Rewrite each equation in exponential form.

log₁₉ 361

19²=361

200

Rewrite each equation in exponential form.

log₉x=y

9^y==x

300

Rewrite each equation in exponential form.

log_x y=5

x⁵=y

400

Rewrite each equation in exponential form.

log₇148=b

7^b=148

500

Rewrite each equation in exponential form.

log(_1/15) (1/225)=2

(1/15)²=1/225

Rewrite in Logarithmic form

100

Rewrite each equation in logarithmic form.

9²=81

log₉81=2

200

Rewrite each equation in logarithmic form.

16²=256

log₁₆256=2

300

Rewrite each equation in logarithmic form.

mⁿ=49

log_m49=n

400

Rewrite each equation in logarithmic form.

n^m=142

log_n142=m

500

Rewrite each equation in logarithmic form.

(2/11)^y=x

log_(2/11)x=y

Solving Logs

100

Solve each equation. 

log₇(4-2v)=log₇2v

1

200

Solve each equation. 

log₁₅(4x-6)=log₁₅(3x-2)

4

300

Solve each equation. 

log4=log(2b-9)

13/2

400

Solve each equation. 

ln 13 = ln (-2m-3)

-8

500

Solve each equation. 

log₁₁(p²-5p)=log₁₁(40+p)

10, -4

Solving Exponential

100

Solve each equation. 

5^x-2=5⁴

6

200

Solve each equation. 

9^-2n-2=9²

-2

300

Solve each equation. 

2^3r+2=2^3r

No Solution

400

Solve each equation. 

216^2x=6²

1/3

500

Solve each equation. 

6^x*6³=6^2x

3