Base e and Natural Logarithm

Write the equation in logarithmic form.
 $e^3=x$  

•  $\ln x=3$  

•  $\ln3=x$  

•  $\ln_3\ x\ =\ 3$  

Write the equation in exponential form. 
 $\ln53=x$   

•  $e^{53}=x$  

•  $e^x=53$  

•  $53^{e\ }=x$  

Write the equation in logarithmic form.
 $e^x=36$  

•  $\ln36=x$  

•  $\ln x=36$  

•  $\ln_e\ =\ 36x$  

 Write the equation in exponential form. 
 $\ln x=18$  

•  $x^{18}=e$  

•  $e^{18}=x$  

•  $e^x=18$  

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.B.3

CCSS.HSF.BF.B.5

CCSS.HSA.SSE.A.2

 $\ln x$ is equivilant to what?  

•  $\log_ex$  

•  $e\cdot\log x$  

•  $\log_{10}x$  

Solve the equation. Round your answer to four decimal places.
 $3e^x+1=5$  
 $x=$   (a)  

Simplify e^ln(x)

• 0

• 1

• x

• 10

Solve the following equation for x. Round your solution to two decimal places.

ln2x - ln41 = 2

• x = 0.36

• x = 151.48

• x = 41

• No solutions