Respuesta :
Answer: The required solution rounded to four decimal places is x = 3.1950.
Step-by-step explanation: We are give to solve the following logarithmic equation and round the answer to four decimal places :
[tex]\log_812=x-2.[/tex]
We will be using the following property of logarithm :
[tex]\log_ba=\dfrac{\log a}{\log b}.[/tex]
We have
[tex]\log_812=x-2\\\\\\\Rightarrow \dfrac{\log 12}{\log 8}=x-2\\\\\\\Rightarrow x=\dfrac{\log12}{\log 8}+2\\\\\\\Rightarrow x=\dfrac{1.0792}{0.9031}+2\\\\\Rightarrow x=1.19499+2\\\\\Rightarrow x=3.1950.[/tex]
Thus, the required solution rounded to four decimal places is x = 3.1950.
