Properties of Logarithms

• 5log₆(a) + 6log₆(c) − 30log₆(b)
• log₆(a) + 6log₆(c) − 5log₆(b)
• 6log₆(a) − 6log₆(c) − 30log₆(b)
• 6log₆(a) + 6log₆(c) − 30log₆(b)

• log(x) + log(z) + 4log(y)
• 3log(x) − log(z) − 4log(y)
• 3log(x) + log(z) + 4log(y)
• log(x) − 4log(z) − 3log(y)

• log₈(a²/cb³)
• log₈(ca²/b³)
• log₈(a²cb³)
• log(a² − c − b³) 

• log₅(x²z²y¹⁰)
• log₅(z²y²x¹⁰)
• log(zy²x¹⁰)
• log₅(z² + y² + x¹⁰)

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON

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

Mathematical Equivalence

ON

• 24log(u) - log(v)
• 24log(u) + 6log(v)
• 4log(u) + 6log(v)
• 4log(u) - 6log(v)

• 60 log(ab)
• 6log(a) + log(b)
• log(a) - 30 log(b)
• 6log(a) + 30 log(b)

• 6log₈(xyz)
• log₈(x) - log₈(y) - 6log₈(z)
• log₈(x) + log₈(y) - log₈(z)
• log₈(x) + log₈(y) + 6log₈(z)