U4D7HW 24-25: UNIT 4 REVIEW

Front

What is the equation of an exponential function that shifts upward by 3 units?

Back

y = 4^x + 3

Front

How do you solve the equation 9(e^x) - 31 = 23?

Back

x = 1.79

Front

What is the solution for x in the equation \log_3(7) + \log_3(2x) = 2?

Back

x = \frac{9}{14}

Front

What is the condensed form of logxyz^3?

Back

logxyz^3

Front

How do you solve the equation 2(16^(x+6)) - 8 = 35?

Back

x = -4.89

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 property of logarithms that states \log_b(m/n) = \log_b(m) - \log_b(n)?

Back

This is the quotient property of logarithms.

Front

What is the property of logarithms that states \log_b(m^n) = n \cdot \log_b(m)?

Back

This is the power property of logarithms.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e (approximately 2.718).

Front

What is the definition of an exponential function?

Back

An exponential function is a mathematical function of the form f(x) = a * b^x, where a is a constant, b is the base, and x is the exponent.