Question

Solve log812 = x – 2 . Round your answer to four decimal places.

Answer 1

Answer:

$x=3.1950$

Step-by-step explanation:

Given:

The equation to solve is given as:

$\log_8 12=x-2$

In order to solve this, we use the base change formula of logarithms.

The base change formula is given as:

$\log_a b=\frac{\log b}{\log a}$

Therefore, the equation can be rewritten as:

$\frac{\log 12}{\log 8}=x-2$

Adding 2 on both the sides, we get:

$x=2+\frac{\log 12}{\log 8}$

Now, we know that, $\log 12=1.07918\ and\ \log 8=0.9031$

Plug in these values and solve for 'x'. This gives,

$x=2+\frac{1.07918}{0.9031}\\\\x=2+1.19497=3.19497\approx3.1950$

Therefore, the value of 'x' is 3.1950 rounded to four decimal places.

Answer 2

Answer:x=3.1950 on ed yw

Step-by-step explanation: