Logarithims (5 Questions)

if

 $y=3\log_{10}\left(\frac{1}{3-x}\right)$  ,

then  $x=3\left(1-\frac{1}{10^{\frac{y}{3}}}\right)$  

• True

• False
  

Tags

CCSS.HSF.BF.B.5

 $4\left(5^x\right)=10$  

Convert this exponential into its logarithmic form

•  $\log_x\left(\frac{5}{2}\right)=5$  

•  $\log_{\frac{5}{2}}5=x$  

•  $\log_x5=\frac{5}{2}$  

•  $\log_5\left(\frac{5}{2}\right)=x$  

Tags

CCSS.HSF.BF.B.5

 $\log\left(2\right)\ +2\log\left(5\right)+16\log\left(\frac{625}{14}\right)+12\log\left(\frac{4}{875}\right)+7\log\left(\frac{2401}{1250}\right)$  

Evaluate the logarithms above

• 1

• 4

• 0

• 2

 $v=92\log\left(d\right)+65$ 
 The wind velocity in kilometers per hour near the center of a tornado can be measured by the equation above.  $d$  is the distance in kilometers that the tornado travels. Approximate the wind velocity of a tornado that travels 250 kilometers. Round your answer to the nearest hundreth. 

 $\log_381=x$ 

Convert to exponential form and solve for x.

Tags

CCSS.HSF.BF.B.5