EOT Exp/Logs Functions Review

Solve for n:  25^n-4 = 5³ⁿ⁺¹

• n=7
• n=-9
• n=8
• n=1

Suppose a culture of bacteria begins with 5000 cells and dies by 30% each year. Write an equation that represents this situation.

• y=5000(0.7)^x
• y=30(5000)^x
• y=5000(1.3)^x
• y=5000x^x

2^x - 5 = 12

• x = 8.5

• x = 4.1

• x = 6.2

• x = 3.9

 $\log_4\left(3x+2\right)=3$  
Solve for x.

• 20.67

• 26.33

• 11

• 27.67

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

Which equation corresponds to the graph below.

• $k\left(x\right)=3\cdot\left(\frac{1}{2}\right)^x+4$

• $f\left(x\right)=3\cdot2^x+4$

• $f\left(x\right)=3\cdot2^x-4$

• $m\left(x\right)=3\left(\frac{1}{2}\right)^2-4$

Using the change of base rule, what is this logarithm equivalent to?

• A
• B
• C
• D