Properties of Logarithms Equations

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³

Change to Exponential Form:
log₆36 = 2

• 2⁶=36

• 6²=36

• 36²=6

• 36⁶=2

log₅(4x-7)=log₅(x+5)

• 3

• 12

• 4

• 7

log₂(2) + log₂(8x) = 6

Try typing this into Desmos.

• x = 3

• x = 2

• x = 6

• x = 4

Mathematical Equivalence

ON

Mathematical Equivalence

ON

Use the properties of Logs to rewrite the logarithmic expression as a single logarithm with the same base.

Mathematical Equivalence

ON

Condense: log16 + log2 - log8

• log4

• log8

• log10

• log24

Write as one logarithm. Simplify, if possible.

log₃9 + log₃27

• log₃3

• log₃243

• log₃1/3

• not possible

Condense

• log16x⁷

• log64x⁶

• log16x⁶

• log64x⁷