DVG Properties of Logarithms (no solving)

Front

What is the property of logarithms that states log_b(x^n) can be rewritten?

Back

log_b(x^n) = n * log_b(x)

Front

What does it mean to condense logarithmic expressions?

Back

Condensing logarithmic expressions involves combining multiple logarithms into a single logarithm using properties of logarithms.

Front

What is the result of condensing log_b(x) + log_b(y)?

Back

log_b(x) + log_b(y) = log_b(xy)

Front

What is the result of condensing log_b(x) - log_b(y)?

Back

log_b(x) - log_b(y) = log_b(x/y)

Front

What does it mean to expand logarithmic expressions?

Back

Expanding logarithmic expressions involves breaking down a single logarithm into multiple logarithms using properties of logarithms.

Front

What is the result of expanding log_b(xy)?

Back

log_b(xy) = log_b(x) + log_b(y)

Front

What is the result of expanding log_b(x/y)?

Back

log_b(x/y) = log_b(x) - log_b(y)

Front

What is the property of logarithms that states log_b(x^n) can be expressed as?

Back

log_b(x^n) = n * log_b(x)

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the logarithm of 1 in any base?

Back

log_b(1) = 0 for any base b.