Solving Exponential Equations Using Logs

If  $3^x=82$  then x =... ? 

(Round to three demical places)

Tags

CCSS.HSF.LE.A.4

If  $9^x=52$  then x =... ? 

(Round to three demical places)

Tags

CCSS.HSF.LE.A.4

If  $4\left(0.5^x\right)=104$  then x =... ? 

(Round to three demical places)

If  $2\left(10^x\right)=2000$  then x =... ? 

If  $6^x-10=210$  then x =... ? 
(Round to three decimal places)

Tags

CCSS.HSF.LE.A.4

If  $7^x+3=52$  then x =... ? 

Tags

CCSS.HSF.LE.A.4

If  $5\left(4^x\right)-16=104$  then x =... ? 
(Round to three decimal places)

Tags

CCSS.HSF.LE.A.4

If  $10\left(2^x\right)+22=187$  then x =... ? 
(Round to three decimal places)

Tags

CCSS.HSF.LE.A.4

Suppose that the number of bacteria in a lab dish at any time t hours after the start of an experiment is given by the function  $B\left(t\right)=50\left(10^{0.3t}\right)$ .  Use the common log to find how many hours it will take to reach 30,000 bacteria in the lab dish. Round answer to three decimal places. 

Tags

CCSS.HSF.LE.A.4

The population of Nevada at the beginning of 2017 was approximately 2.9 million and growing exponentially.  The function  $P\left(t\right)=2.9\left(1.03^t\right)$  will give the population (in millions) of Nevada t years after 2017.  How many years will it take Nevada to reach 8.7 million? Round answer to a whole number. 

Tags

CCSS.HSF.LE.A.4