Question

Solve the following equation 4×6x−7=1 x= log8log6 x= log2log6 x= log6log8 x= log6log2

Answer 1

The value of x is
`x=(\log(2))/(\log(6))`.

Explanation:

Solve the equation as follows:

`4* 6^(x)-7=1`

`4* 6^(x)=7+1`

`6^(x)=(8)/(4)`

`6^(x)=2`

Take log on both sides.

`\log(6^(x))=\log(2)`

`x\log (6)=\log(2)`

`x=(\log(2))/(\log(6))`

Thus, the value of x is
`x=(\log(2))/(\log(6))`.