Question

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

Answer 1

x=3.1950

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=(\log a)/(\log b).`

We have

`\log_812=x-2\\\\\\\Rightarrow (\log 12)/(\log 8)=x-2\\\\\\\Rightarrow x=(\log12)/(\log 8)+2\\\\\\\Rightarrow x=(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.