Exponential and Logarithmic Functions

Is the pictured graph growth, decay, or linear or none?  

• Exponential Growth
• Exponential Decay
• Linear
• None

Which function is exponential?

• f(x)
• h(x)
• g(x)

Log with a base "e" (log_e) is the same thing as...

• "e"
• Natural Logarithm (LN)
• Common Logarithm (Log)
• Natural Log, base "e"
  LN_e

Tags

CCSS.HSF.LE.A.4

The common logarithm has what base?

• 10
• 0
• e
• -e

Rewrite 3⁴ = 81 in logarithmic form.

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

Change to Exponential Form:
log₆36 = 2

• 2⁶=36
• 6²=36
• 36²=6
• 36⁶=2

Rewrite 3⁴ = 81 in logarithmic form.

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

Tags

CCSS.HSF.BF.B.5

CCSS.HSF.LE.A.4

Solve for x:
2^x+6=2⁵

• -1
• 11
• 1
• -11

Solve for n:
2³ⁿ = 4

• 2
• 3
• 2/3
• 4

Sovle for x:

6^{-3x - 1} = 36

• x = -1

• x = -4

• x = -3

• x = 1

Answer explanation

$36=6^2$ $\rightarrow\ \ \ \ \ 6^{\left(-3x-1\right)}=6^2$

$\therefore\ \ \ \ -3x-1=2$