Quiz on Solving Log and Exp Equations

Solve for X: $16^x=32^{\left(x-1\right)}$  

• 3/5

• 5/3

• 3

• 5

Solve for x:  $4^x+8\ =\ 72$  

• 1

• 2

• 3

• 4.7

Solve for x to three decimal places:  $5^{x\ }=235$  

• 2

• 3.392
  
  

• 4.392

• 2.371

Solve for x to three decimal places:  $7^{\left(2x-1\right)}-9\ =\ 75$  

• log(7)

• 12

• 1.924

• 1.638

Solve for x: $\log_2\left(5x-2\right)\ =\ 3$  

• 1

• 2

• 3

• 4

Solve for x. Check for Extraneous solutions:
 $\log_3\left(x\ +\ 8\right)\ =\ 2\ -\ \log_3\left(x\right)$  

• x = 1
  

• x = -9
  

• x = 1 or x = -9
  

• x = 1,but x = -9 is extraneous
  

Use the change of base formula to evaluate:
 $\log_5145$  

• 29

• 0.034

• 3.092

• 2.161

A deposit of $4000 is made into a savings account that pays 4.5% interest compounded monthly. How much money will be in the account after 8 years?

• $5000

• $5729.46

• $6000.01

• $7345.01

A deposit of $4000 is made into a savings account that pays 4.5% interest compounded monthly. About how long would it take the deposit to double?

• About 10 years

• About 15 years

• About 15 years and 5 months

• About 16 years

A deposit of $4000 is made into a savings account that pays 4.5% interest compounded continuously. How much will the account have in 15 years?

• $7856.13

• $8000

• $9000.13

• $7900