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Front

What is the exponential form of log₂(1/8) = -3?

Back

2^-3 = 1/8

Front

How do you express log(xy²) in terms of log x and log y?

Back

log(xy²) = log x + 2 log y

Front

What are logarithms and exponentials in relation to each other?

Back

Logarithms and exponentials are inverse functions.

Front

How do you solve the equation (1/6)^x = 216?

Back

x = -3

Front

What is the value of x in the equation 2^x = 1/16?

Back

x = -4

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 base of a logarithm in log_b(a) = c?

Back

The base b is the number that is raised to the power c to get a.

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(xy) = log_b(x) + log_b(y).

Front

What is the quotient rule for logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y).