Exam 16: Exponential and Logarithmic Equations

Solve for $x : 7 ^ { x - 3 } = 7 ^ { 5 }$

Evaluate: $2 ^{- 3}$

Solve for x: $5 x = \frac { 1 } { 25 }$

The formula for finding compound interest is $A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$ where $\mathrm { A }$ is the accumulated amount, $P$ is the principal invested, $r$ is the rate of interest, $t$ is the time in years, and $n$ is the number of compounds each year. Find the accumulated amount if the principal invested is $\$ 5,000$ , the rate is $8 \%$ , the compounds each year is 4 (quarterly)! and the number of years is 5 .

Use the compound amount formula $A = P \left( 1 + \frac { r } { n } \right) ^ { \mathrm { nt } }$ to find the accumulated amount on an investment of $\$ 2000$ , invested at an interest rate of $6 \%$ for 10 years, if the interest is compounded quarterly.

The formula for finding compound interest is $A = P \left( 1 + \frac { r } { n } \right) ^ { n t }$ where A is the accumulated amount, P is the principal invested, r is the rate of interest, t is the time in years, and n is the number of compounds each year. Find the accumulated amount if the principal invested is $10,000, the rate is 12%, the compounds each year is 12 (monthly), and the number of years is 6.

The formula for finding the amount an investment grows to if it is compounded continuously is A = Pert, A is the accumulated amount, P is the principal invested, e is the natural exponent, r is the rate per year, and t is the number of years. Find the accumulated amount A if $1,500 is compounded continuously for 5 years at 6% per year.