Basic Logarithms

Front

What is the definition of a logarithm?

Back

Front

What is the relationship between logarithms and exponents?

Back

Front

Evaluate: log₁₀100

Back

2, because 10² = 100.

Front

What is the value of log_aa?

Back

1, because any number raised to the power of 1 is itself.

Front

What is the value of log_a1?

Back

0, because any number raised to the power of 0 is 1.

Front

Back

Front

What is the change of base formula for logarithms?

Back

Front

Evaluate: ln(e^3)

Back

3, because the natural logarithm of e raised to any power is that power.

Front

Back

Front

What is the value of log₇49?

Back

2, because 7² = 49.