Logarithmic Functions and Exponents

Front

What is the base of a common logarithm?

Back

The base of a common logarithm is 10.

Front

What is the value of log₁₀100?

Back

log₁₀100 = 2.

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8.

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e.

Front

What is the relationship between exponents and logarithms?

Back

If b^y = x, then log_bx = y.

Front

What is the value of log_ee?

Back

log_ee = 1.

Front

What is the change of base formula for logarithms?

Back

log_ba = log_ka / log_kb for any base k.

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_bx + log_by.

Front

What is the quotient rule for logarithms?

Back

log_b(x/y) = log_bx - log_by.