Intro to logs day 2

Front

What is the value of log 15 rounded to 2 decimal places?

Back

1.18

Front

What is the value of ln 3.5 rounded to 2 decimal places?

Back

1.25

Front

If log_x(25) = 2, what is the value of x?

Back

x = 5

Front

Solve the equation ln(x - 5) = 3. What is the value of x rounded to 2 decimal places?

Back

25.09

Front

Solve the equation log(2x + 4) = 2. What is the value of x?

Back

48

Front

Define logarithm in terms of exponents.

Back

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

Front

What is the base of the common logarithm?

Back

10

Front

What is the base of the natural logarithm?

Back

e (approximately 2.718)

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 product rule for logarithms?

Back

log_b(m * n) = log_b(m) + log_b(n) for any positive m and n.