The exact solution to the equation [tex]10^x = 14[/tex] is [tex]x=1.146[/tex].
Given equation,
[tex]10^x = 14[/tex].
We have to find the solution of the equation.
Now, [tex]10^x = 14[/tex]
Taking log on both sides, we get
[tex]\rm log\ (10)^x=log\ 14[/tex]
Since [tex]\rm log\ x^m=m\ log\ x[/tex], applying the identity to the above equation we get,
[tex]x \ \rm log 10=log\ 14[/tex]
Since [tex]\rm log 10=1[/tex] and [tex]\rm log14=1.146[/tex] putting in above equation we get,
[tex]x=1.146[/tex]
The required solution of equation will be [tex]x=1.146[/tex]
For more details on Logarithm follow the link:
https://brainly.com/question/7302008
