Question

Use technology to solve for x.3^x−4=6x−7What are the solutions?

Answer 1

Given

`3^x−4=6x−7`

Find

Solutions of the equation

Step-by-step explanation

When x=1

`\begin{gathered} 3^x-4=-1 \\ 6(1)-7=-1 \end{gathered}`

L.H.S = R.H.S

when x = 2

`\begin{gathered} 3^2-4=5 \\ 6(2)-7=5 \end{gathered}`

L.H.S = R.H.S

so , solutions are x = 1 and 2

Final Answer

hence , the solutions of the given equations are 1 and 2