Unit 7 Review (Algebra 2)

Solve for x.

$\log_7\left(4x-9\right)=\log_7\left(3x+1\right)$

x =

Evaluate. If necessary, round to 3 decimal places, or if necessary, write "undefined".

$3\log_416\ =\ ?$

Evaluate. If necessary, round to 3 decimal places, or if necessary, write "undefined".

$\log_719\ =\ ?$

Evaluate. If necessary, round to 3 decimal places, or if necessary, write "und".

$\log_2\left(-7\right)$

Solve the following. Type your answer as a decimal.

$\left(\frac{1}{25}\right)^x=125^{x-3}$

Solve the following. Find the exact answer, but type in any solution to 3 decimal places. If no solution exists, type "ns".

$4^x=12$

x =

Solve the following. Find the exact answer, but type in any solution to 3 decimal places. If no solution exists, type "ns".

$7+\ln\left(5x-1\right)=19$

x =

Solve the following. Find the exact answer, but type in any solution to 3 decimal places. If no solution exists, type "ns".

$\log_4x+\log_4\left(x-2\right)=\log_415$

x =

Suppose you invest $1,500 into an account that earns 2.6% annual interest, compounded continuously. How much will you have in your account in 6 years? Round to the nearest cent.

$

You deposit $9000 into bank account paying 3% interest, compounded continuously. How long will it take for your account to reach $17000? Round to the nearest whole year.