What is the exact value of x?

4⋅6^3x=221

x= log 55.25 / 3 log 6

x= log 6 / 3 log 55.25

x= 3 log 55.25 / log 6

x= 3 log 6 / log 55.25

jjennylove
Nov 7, 2018

#1**+3 **

4 * 6^3x=221

6^3x =221/4

Log (6^3x) = Log (221/4)

3x log 6 = log 221/4

3x = log 221/4 / log 6

x = log(55.25)/(3 log 6)

ElectricPavlov
Nov 7, 2018

#1**+3 **

Best Answer

4 * 6^3x=221

6^3x =221/4

Log (6^3x) = Log (221/4)

3x log 6 = log 221/4

3x = log 221/4 / log 6

x = log(55.25)/(3 log 6)

ElectricPavlov
Nov 7, 2018

#2**+1 **

That is what I was thinking but steps you provided helped me understand it more. Thank you

jjennylove
Nov 7, 2018