4.2 Convert and Evaluate Logs

Front

What is the value of log₈ 8?

Back

1

Front

How do you rewrite the equation y = 7^x as a logarithm?

Back

log₇(y) = x

Front

What is the value of log₅ 25?

Back

2

Front

How do you rewrite log₂ 8 = 3 as an exponential equation?

Back

2³ = 8

Front

What is the value of log₄ 16?

Back

2

Front

What is the definition of a logarithm?

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

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 relationship between logarithms and exponents?

Back

If b^y = x, then log_b(x) = y.

Front

What is the value of log₁₀ 100?

Back

2

Front

How do you express log_a(b * c) in terms of logarithms of b and c?

Back

log_a(b) + log_a(c) (Product Rule).