3.1-3.4 Review

Front

Evaluate: 3 log_8 2

Back

1

Front

If Olivia spends $7,400 on furniture with 9.5% interest compounded continuously, how much will she pay after 8 years?

Back

$15,823.24

Front

Riley invested $1,000 in savings bonds at 6.75% interest compounded semi-annually. How much will he earn in 15 years?

Back

$2,706.86

Front

Write in logarithmic form: 2^{-4} = 1/16

Back

log_2(1/16) = -4

Front

How long will it take for Kiki's $500 to triple at 7% interest compounded continuously?

Back

15.694 years

Front

Define logarithm.

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

What is the formula for continuous compounding?

Back

A = Pe^{rt}, where A is the amount, P is the principal, r is the rate, and t is time.

Front

What does 'compounded semi-annually' mean?

Back

Interest is calculated and added to the principal twice a year.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

How do you convert from exponential form to logarithmic form?

Back

If a^b = c, then log_a(c) = b.