U3D4 CW: Exponential and Logarithmic Forms

Front

Rewrite ln7 = x in exponential form

Back

e^x = 7

Front

Rewrite log 1000 = 3 in exponential form

Back

10^3 = 1000

Front

What is the transformation of the logarithmic function f(x) = log(x + 3) - 1?

Back

Left 3, down 1

Front

Define a logarithm.

Back

A logarithm is the inverse operation to exponentiation, indicating the power to which a base must be raised to obtain a given number.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e, approximately equal to 2.718.

Front

Convert the exponential equation 2^x = 16 to logarithmic form.

Back

x = log_2(16)

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions grow rapidly, while logarithmic functions grow slowly; they are inverses of each other.

Front

If log_b(a) = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the domain of the logarithmic function f(x) = log(x)?

Back

The domain is x > 0.

Front

What is the range of the logarithmic function f(x) = log(x)?

Back

The range is all real numbers.