Exponents and Logs

Rewrite log_vn = a in exponential form.

• v^a = n
• n^a = v
• vⁿ = a
• aⁿ = v

Tags

CCSS.HSF.BF.B.5

Rewrite 3⁴ = 81 in logarithmic form.

• log₃4 = 81
• log₈₁3 = 4
• log₃81 = 4
• log₄81 = 3

Tags

CCSS.HSF.BF.B.5

 $10^{4x}=8$  Solve for x with your calculator and round to the nearest hundredth.

• .23

• 0.90

• -0.32

• 1.21

Tags

CCSS.HSF.LE.A.4

 $e^x=20$  Solve for x using your calculator. Round to the nearest hundredth.

•  $2.98$  

• 2.99

• 3.00

•  $4.85\ x\ 10^8$  

Tags

CCSS.HSF.LE.A.4

If you want to turn $500 into $750 in a continuously compounded investment account in 5 years, what interest rate must you get?

• 5.4%

• 8.4%

• 4.9%

• 8.1%

Solve for x   $e^{\left(4x-5\right)}=1$  

•  $x=5$  

•  $x=4$  

•  $x=\frac{4}{5}$  

•  $x=\frac{5}{4}$  

 $5^{\left(3x-15\right)}=20$  solve for x, 

•  $x=\ \log_520-15$  

•  $x=\ \frac{1}{3}\log_520+5$  

•  $\frac{1}{3}\log_520$  

•  $\frac{1}{3}\log_520+15$  

Solve the following for x:

• 9
• 8
• {9,-1}
• -1

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.A.2

log₂(x + 2) + log₂x  = 3

• -4, 2
• -2, 4
• 2 ;  -4 is extraneous
• 1 ;  -3 is extraneous

81^3-x = (1/3)^5x-6

• 6
• -6
• 9/2
• 3/2

Tags

CCSS.HSA.CED.A.1

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4