Solving Exponential & Base e Equations

Front

What is the solution to the equation 4^3v = 1/4?

Back

v = -1/3

Front

Solve for x: ln(3x) + ln(2x) = 3. Round to two decimal places.

Back

x = 1.83

Front

Change to Exponential Form: log_6(36) = 2.

Back

6^2 = 36

Tags

CCSS.HSF.BF.B.5

Front

Solve for x: 4 - 3 ln(2x + 10) = 12. Round to two decimal places.

Back

x = -4.97

Front

What is the base of the natural logarithm?

Back

e

Tags

CCSS.HSF.BF.B.5

Front

What is the definition of an exponential function?

Back

A function of the form f(x) = a * b^x, where a is a constant, b is a positive real number, and b ≠ 1.

Front

What is the property of logarithms that states log_b(mn) = log_b(m) + log_b(n)?

Back

This is the Product Property of Logarithms.

Front

What is the inverse of the exponential function?

Back

The logarithmic function.

Tags

CCSS.HSF-BF.B.4A

Front

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x.

Tags

CCSS.HSF.BF.B.5

Front

What is the definition of the natural logarithm?

Back

The natural logarithm, denoted as ln(x), is the logarithm to the base e.

Tags

CCSS.HSF.BF.B.5