Exponentials And Logarithms

Evaluate the Log

100

Evaluate:

Log_2 16

4

200

Evaluate:

log_27 3

 1/3

300

Evaluate:

log_4 1

0

400

Evaluate:

log_5 (1/25)

 -2

500

Evaluate:

log_2 (1/4)

-2

Convert To An Exponential

100

Convert to an exponential equation.

log_2 32=5

2^5=32

200

Convert to an exponential equation.

log_2 x=y

x=2^y

300

Convert to an exponential equation.

log 1=0

10 ⁰= 1

400

Convert to an exponential equation.

log_2 (x+3)=8

2^8=x+3

500

Convert the following to an exponential equation.

log_7 4=x-6

7^(x-6)=4

Convert To A Logarithm

100

Convert to a Logarithm of form

2^3=8

log_2 8=3

200

Convert to a Logarithm of form

12^3=1728

log_12 1728=3

300

Convert to a Logarithm of form

3^0=1

log_3 1=0

400

Convert to a Logarithm of form

10^(x+2)=29

log 29=x+2

500

Convert to a Logarithm of form

5^3=x-3

log_5 (x-3)=3

Expand or Condense

100

Expand the following Logarithm.

log((x^3)/z^6)

3logx-6logz

200

Condense the following logarithm.

log_3 5+5log_3 2

log_3 160

300

Expand the following logarithm

log(3 * 2^3)

log(3)+3log(2)

400

Expand the following logarithm :

log(u^4/v)

4log(u)-logv

500

Condense the following logarithm:

6log_3(u)+6log_3(v) 

log_3(u^6 * v^6)

Solve the Equation

100

Evaluate. Round to 2 decimal places

log_3(4)

x= 1.26

200

Evaluate. Round to two decimal places:

4log_5(413)

x=14.97

300

Solve:

3(1.05)^x=18

x=36.72

400

Solve:

5^(x+4)=10

x=-2.57

500

Solve for x:

3(2)^(2x-1)=15

x=1.66