Logarithms in Context

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Use the properties of logarithms to retwrite

• A

• B

• C

• D

Expand

• log₈x+log₈y+log₈z

• 5log₈x+5log₈y+5log₈z

• log₈xy+5log₈z

• log₈x+log₈y+5log₈z

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

• A

• B

• C

• D

Log with a base "e" (log_e) is the same thing as...

• "e"

• Natural Logarithm (LN)

• Common Logarithm (Log)

• Natural Log, base "e"
  LN_e

• base 3 of 20

• base 45 of 900

• base 20 of 3

• base 20 of 900

Answer explanation

• x = 2

• x = -2

• y = 2

• y = -2

• about 7 years
• about 10 years
• about 18 years
• about 22 years