Math 3 wk 6

Front

What is the value of x in the equation 19^x = 243?

Back

x = 2.5

Front

If log(3x + 25) = 2, what is the value of x?

Back

x = 25

Front

How can you express 3 ln 5 - ln 2 as a single natural logarithm?

Back

ln 62.5

Front

What is the Power Property of Logarithms?

Back

The Power Property states that log_b(a^c) = c * log_b(a).

Front

What is the approximate solution of 16^(2x) = 124?

Back

x ≈ 0.869

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?

Back

The base of a logarithm is the number that is raised to a power to obtain another number.

Front

What does ln stand for in mathematics?

Back

ln stands for natural logarithm, which uses the base e (approximately 2.718).

Front

What is the relationship between exponents and logarithms?

Back

Logarithms are the inverse operations of exponentiation.

Front

How do you convert from exponential form to logarithmic form?

Back

If a^b = c, then log_a(c) = b.