Question

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

Answer 1

Answer:x=3.1950 on ed yw

Explanation:

Answer 2

`x=3.1950`

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

Therefore, the equation can be rewritten as:

`(\log 12)/(\log 8)=x-2`

Adding 2 on both the sides, we get:

`x=2+(\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+(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.