Question

Use technology to solve for x. 3^x - 4= 6x - 7

Answer 1

`x=1,1`

Explanation:

`3x^2 - 4= 6x - 7`

For the given equation :

Making the coefficients of x to L.H.S

`3x^2-6x-4+7`
`=0\\`

`3x^2-6x+3=0`

Taking 3 as common from the above equation

`x^2-2x+1=0`

Splitting the equation to make factors

`x^2-x-x+1=0`

Taking common from the equation:

`x(x-1)-1(x-1)\\(x-1)(x-1)=0`

Equating 'x' to zero

`x=1,1`