Math 3 Midterm Review Unit 4

Front

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

Back

About -28.4

Front

Rewrite log_pt = m in exponential form.

Back

p^m = t

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3(81) = 4

Front

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

Back

Y-INTERCEPT

Front

Solve: 6^(x+3) = 2^(2x+5)

Back

x = -4.71

Front

What is the base of a logarithm?

Back

The base is the number that is raised to a power to obtain another number.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What does the term 'exponential growth' refer to?

Back

A process where a quantity increases at a rate proportional to its current value.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

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

Back

b^y = x