Reducing Logarithms

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

• log (xy³)
• log (x⁶ − y³)
• log (x⁶/y³)
• log (x⁶ + y³)

Write log_b(xy) as two logs

• log_bx+log_by

• log_bx-log_by

• log_bx*log_by

• log_bx/log_by

Solve for x:

• 1

• 2

• .5

• 4

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

Solve the equation for x.

• 7.389

• 0.693

• 0.0183

• 6.581

Use the properties of logarithms to retwrite

• A

• B

• C

• D

Condense

• log₈(a¹⁸/b³)

• log₈(a¹⁸b³)

• log₈(a/b³)

• 15log₈(a/b³)

Write as a single log: log 12 + 2 log x

• log (12 + 2x)

• log (14x)

• log (12 * 2x)

• log (12x²)