Math 3 Midterm Review Unit 4

Front

Rewrite log_p t = m in exponential form.

Back

p^m = t

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4

Front

What is the value of k in the equation y=ae^(kt) for the half-life of Sodium-22, which is 2.6 years?

Back

About .2666

Front

In an exponential function, what does the 'a' represent?

Back

Y-INTERCEPT

Front

Evaluate the function for f(40): f(x) = 10 * log_8(x+50) - 50

Back

About -28.4

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 a certain value.

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions can be rewritten as logarithmic functions and vice versa.

Front

What does the term 'half-life' refer to in exponential decay?

Back

Half-life is the time required for a quantity to reduce to half its initial value.

Front

What is the formula for exponential growth?

Back

y = ae^(kt), where 'a' is the initial amount, 'k' is the growth rate, and 't' is time.