Week 13: Review for Flashcard on Exponential vs Logarithmic Equations

Front

What is the exponential form of log(x)=5?

Back

10^5 = x

Front

What is the exponential equation for the graph represented by f(x)=0.5(4)^x?

Back

f(x) = 0.5(4)^x

Front

Identify an example of an exponential decay model.

Back

y = 3 (1/2)^x

Front

Write the function that models the table if g(x)=16(1/2)^x.

Back

g(x) = 16(1/2)^x

Front

What is the equation for the exponential function represented by y=5(2)^x?

Back

y = 5(2)^x

Front

Define 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 a positive real number, and x is the variable.

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 a given number. For example, in log_b(a) = c, b is the base.

Front

Convert the exponential equation 2^x = 8 to logarithmic form.

Back

log_2(8) = x

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions and logarithmic functions are inverses of each other.

Front

What does it mean for a function to exhibit exponential growth?

Back

Exponential growth occurs when a quantity increases by a consistent percentage over a period of time.