Unit 7 TEST

Front

If something is compounded weekly, how many times will that happen in 1 year?

Back

52 times.

Front

Change to Exponential Form: log_6 36 = 2

Back

6^2 = 36.

Front

Choose the correctly condensed common logarithm: log x + log y + 3 log z

Back

log(xyz^3).

Front

Rewrite 3^4 = 81 in logarithmic form.

Back

log_3 81 = 4.

Front

The population of Smalltown in the year 1890 was 6,250. Since then, it has increased at a rate of 3.75% each year. What was the population of Smalltown in the year 1915?

Back

15,688.

Front

What is the formula for compound interest?

Back

A = P(1 + r/n)^(nt), where A is the amount, P is the principal, r is the rate, n is the number of times interest is compounded per year, and t is the time in years.

Front

Define logarithm in terms of exponents.

Back

A logarithm is the exponent to which a base must be raised to produce a given 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 is the product rule for logarithms?

Back

log_b (xy) = log_b x + log_b y.

Front

What is the quotient rule for logarithms?

Back

log_b (x/y) = log_b x - log_b y.