Logarithms

Front

What is the definition of a logarithm?

Back

Front

What is the relationship between logarithmic and exponential functions?

Back

Front

Expand the expression: log₈x + log₈y + 5log₈z

Back

log₈x + log₈y + 5log₈z = log₈(xy) + log₈(z^5) = log₈(xyz^5).

Front

Write the expression log₆3 + log₆2 as one logarithm.

Back

log₆3 + log₆2 = log₆(3*2) = log₆6 = 1.

Front

Back

Front

What is the change of base formula for logarithms?

Back

Front

Convert the exponential equation 10⁴ = 10000 into logarithmic form.

Back

log₁₀ 10000 = 4.

Front

What is the product rule for logarithms?

Back

Front

What is the quotient rule for logarithms?

Back

Front

What is the power rule for logarithms?

Back