Base e and Natural Logs (Part 2)

Condense the expression as a single logarithm.

 $\ln4+\ln3x$  

•  $\ln7x$  

•  $\ln\left(3x\right)^4$  

•  $\ln12x$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Condense the expression as a single logarithm.

 $\frac{1}{2}\cdot\ln256-3\cdot\ln2$  

•  $\ln128$  

•  $\ln8$  

•  $\ln32$  

•  $\ln2$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Condense the expression as a single logarithm.

 $7\cdot\ln a-4\cdot\ln b$  

•  $\ln\ \frac{a^7}{b^4}$  

•  $\frac{7}{4}\ln\ \frac{a}{b}$  

•  $\ln\left(ab\right)^3$  

•  $\ln\left(ab\right)^{11}$  

Tags

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

Expand the logarithmic expression.

 $\ln\left(2m^8\right)$  

•  $\ln2+\ln m^8$  

•  $\ln2-8\ln m$  

•  $\ln\ \frac{2}{m^8}$  

•  $\ln2+8\ln m$  

Tags

CCSS.HSA.SSE.B.3

CCSS.HSF.BF.B.5

CCSS.HSF.IF.C.8

Expand the logarithmic expression.


 $\ln\left(\frac{m^5}{n^2}\right)^3$  

•  $\ln\left(\frac{m^{15}}{n^6}\right)$  

•  $15\cdot\ln m-6\cdot\ln n$  

•  $15\cdot\ln m+6\cdot\ln n$  

•  $\ln m^{15}-\ln n^6$  

Tags

CCSS.HSF.BF.B.5

3e^2x + 10 = 25

• {-3.940}

• {1.228}

• {0.451}

• {0.805}

What is the value of ln(e⁷)

• 2.718...
• 1
• 7
• Does not exist

Tags

CCSS.HSF.BF.B.5

Which of the following is the value of x given;
e^(x+6) = 12

• x = ln 6
• x = -6 + ln12
• x = ln72
• x = ln(-2)

Tags

CCSS.HSF.BF.B.5

Solve for x:

ln(x)=2

• 2.234

• 3.14

• 7.389

• 2

Tags

CCSS.HSF.BF.B.5