Applying and analysing exponential and logarithmic functions

Solve for x. 

 $11^x=74$  

• 4.8816

• 1.7949

• 1.8692

• 4.3041

Ainsley wants to double her money. She put $10,000 in a bank account that pays 3% compounded continuously. How long will it take her to double her money? (Round to the nearest tenth.)

• 131 yrs

• 231 yrs

• 13.1 yrs

• 23.1 yrs

Solve for x:
 $7+3^{\left(x-5\right)}=16$  

• 9

• 4

• 7

• -2

• 2

Solve: $e^{4x}=12$  

Round to the hundredths.

• 2.48

• 9.94

• 0.62

• 3

Evaluate:  $11^x=121$  

• 2

• 11

• 8.14

• 5

Suppose that $8000 is invested at an interest rate of 5.2% per year, compounded continuously. How many years would it take to have $16,000 in the account?

• 13.3 yr

• 12.3 yr

• 14.3 yr

• 2 yr

What would be the FIRST step in solving the equation? $12^x=165$  

• divide 12 to both sides

• take the LOG of both sides

• subtract 12 from both sides

• divide 165 to both sides

Solve for the exact value of x:

 $2^{x\ }=5$  

• -0.916

• 0.916

• 0.431

• 2.322

Solve for x:

 $3^x=27$  

• 3

• 6

• 9