Midterm Review #2

Front

What is the logarithmic form of the equation 10^3 = 1000?

Back

log 1000 = 3

Front

Rewrite log_2(8) = 3 in exponential form.

Back

2^3 = 8

Front

Simplify: \frac{1}{4}log_2(81) + \frac{1}{2}log_2(49)

Back

log_2(21)

Front

What is the value of x in the equation log_6(2x + 3) = 3?

Back

x = 106.5

Front

Simplify: \frac{1}{4}log_5(16) + 3log_5(x)

Back

log_5(2x^3)

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

If log_b(a) = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the change of base formula for logarithms?

Back

log_b(a) = \frac{log_k(a)}{log_k(b)} for any base k.

Front

Simplify: log_2(32) - log_2(4)

Back

log_2(8)

Front

What is the product property of logarithms?

Back

log_b(mn) = log_b(m) + log_b(n) for any positive m and n.