Logarithm Equations

Write the expression as a single logarithm.   Then simplify if possible.
log 6 - log 3 + 2 log 7

• log 98

• log 78

• log 56

• log 45

The common logarithm has what base?

• 10

• 0

• e

• -e

Evaluate log_b(b)

• -1

• 0

• 1

• b

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

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

log₂(2) + log₂(8x) = 6

Try typing this into Desmos.

• x = 3

• x = 2

• x = 6

• x = 4

log₆(2x + 3) = 3

Try typing this into Desmos.

• x = 106.5

• x = 100

• x = 16

• x = 50

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

Change to Logarithmic Form:
12² = 144

• log ₂ 144 = 12

• log ₁₂ 144 = 2

• log ₁₂ 2 = 144

• log ₂ 12 = 144

log₈(x) = 2

• x = 256

• x = 64

• x = 16

• x = 32