intro to logarithms

Front

What is a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number. For example, log_b(a) = c means b^c = a.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation. If b^c = a, then log_b(a) = c.

Front

Convert the logarithmic expression log_2(8) to exponential form.

Back

2^3 = 8.

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power. In log_b(a), b is the base.

Front

How do you evaluate log(1/100)?

Back

log(1/100) = -2.

Front

Write the logarithmic form of 5^2 = 25.

Back

log_5(25) = 2.

Front

What does it mean if log_b(a) = 0?

Back

It means that a = 1, since any number raised to the power of 0 equals 1.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any positive k.

Front

If log_3(27) = x, what is the value of x?

Back

x = 3, since 3^3 = 27.

Front

What is the product rule of logarithms?

Back

log_b(m * n) = log_b(m) + log_b(n).