Answer:
The solution of the equation is [tex]x=2.169..[/tex]
Step-by-step explanation:
Given : Equation [tex]2^{3x}=91[/tex]
To find : What is the solution to the equation below?
Solution :
Equation [tex]2^{3x}=91[/tex]
Taking log both side,
[tex]\log(2^{3x})=\log(91)[/tex]
Apply logarithmic property, [tex]\log a^x=x\log a[/tex]
[tex]3x\log(2)=\log(91)[/tex]
[tex]3x=\frac{\log(91)}{\log(2)}[/tex]
[tex]x=\frac{\log(91)}{3\log(2)}[/tex]
[tex]x=2.169..[/tex]
Therefore, The solution of the equation is [tex]x=2.169..[/tex]
