Question

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

Answer 1

Answer:

$x=1,1$

Step-by-step 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

$x=1,1$