logarithmic properties evaluate; expand and condense

Front

Evaluate the logarithm: log₈√8

Back

¹/₂

Front

Condense the logarithm: log₄x + log₄y

Back

log₄xy

Front

Rewrite log₂8 = 3 in exponential form

Back

2³ = 8

Front

Expand: log₈x + log₈y + 5log₈z

Back

log₈x + log₈y + 5log₈z

Front

The base of common log is 10. So log 100 = ?

Back

2

Front

What is the change of base formula for logarithms?

Back

log_ba = \frac{log_ka}{log_kb} for any base k.

Front

What is the product property of logarithms?

Back

log_b(xy) = log_bx + log_by

Front

What is the quotient property of logarithms?

Back

log_b(x/y) = log_bx - log_by

Front

What is the power property of logarithms?

Back

log_b(xⁿ) = n * log_bx

Front

Evaluate: log₁₀1000

Back

3