Question

Solve log base 8^12 = x – 2 . Round your answer to four decimal places. Pls help

Answer 1

Answer:

x=3.1950

Step-by-step explanation:

Answer 2

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 :

$\log_812=x-2.$

We will be using the following property of logarithm :

$\log_ba=\dfrac{\log a}{\log b}.$

We have

$\log_812=x-2\\\\\\\Rightarrow \dfrac{\log 12}{\log 8}=x-2\\\\\\\Rightarrow x=\dfrac{\log12}{\log 8}+2\\\\\\\Rightarrow x=\dfrac{1.0792}{0.9031}+2\\\\\Rightarrow x=1.19499+2\\\\\Rightarrow x=3.1950.$

Thus, the required solution rounded to four decimal places is x = 3.1950.