Exponential Functions and Log

Identify the y-intercept (initial value) of the function f(x)=2(4)^x.

• 2

• 4

• (2)^x

• 8

Riley invested $1,000 in savings bonds. If the bonds earn 6.75% interest compounded annually, how much total will Riley earn in 15 years?

Solve:
_{log (4x − 5) = log (2x − 1)} 

• 0

• 1

• 2

• 3

Solve: 7^3x = 18. Round to the nearest tenth.

• x = 0.5

• x = 2.3

• x = 3.6

• x = 10.4

• x = 1.5

If $1,000 is invested at 16% interest, compounded continuously, for five years, what is the ending balance?

• $1,225,54

• $2,225.54

• $22,255.40

• $225.54

An Amount of $2,000 is deposited into a bank paying an annual interest rate of 2.85% compounded continuously. How long will it take for the money to double?

• 21.22

• 24.321

• 20.12

• 24

Emily's parents put $1,500 in her bank account for college tuition. At an interest rate of 8.25% compounded continuously, what will be the balance after 18 years.

Condense each expression to a single logarithm.

• A

• B

• C

• D

Bruno was given $2000 when he turned 3 years old.  His parents invested it at a 2% interest rate compounded annually.  No deposits or withdrawls were made.  Which expression can be used to determine how much money Bruno had in the account when he turned 16? 

• 2000(1+0.02)¹³

• 2000(1-0.02)¹³

• 2000(1+0.02)¹⁶

• 2000(1-0.02)¹⁶

Condense

• logxyz³

• log(xy/z³)

• logx+logy+logz³

• logx³y³z³