4.3-4.5 Flashcard

Front

Expand: log₈x + log₈y + log₈z

Back

log₈x + log₈y + 5log₈z

Front

What is the base of the following logarithm: ln x?

Back

e

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log₃81 = 4

Front

Expand the logarithm: log₈(xyz^5)

Back

log₈x + log₈y + 5log₈z

Front

Solve the following exponential equation: 3^3 = 3^{4x+2}

Back

x = \frac{1}{4}

Front

What is the product rule for logarithms?

Back

logₐ(bc) = logₐb + logₐc

Front

What is the quotient rule for logarithms?

Back

logₐ(b/c) = logₐb - logₐc

Front

What is the power rule for logarithms?

Back

logₐ(b^c) = c * logₐb

Front

Convert the logarithmic equation log₃81 = 4 to exponential form.

Back

3^4 = 81

Front

What is the change of base formula for logarithms?

Back

logₐb = \frac{log_c b}{log_c a}