Chapter 6.4, Problem 2E

To determine

To identify:Which equation does not belong with the other three in the given equations.

Answer to Problem 2E

The equation $3^4-x+4^2$ does not belong to other three equations because it is not an exponential equation like them.

Explanation of Solution

Given information:

The equations are

  $2^x=4^{x+6}$ , $5^{3x+8}=5^{2x}$ , $3^4-x+4^2$ , $2^{x-7}=2^7$

Observing all four given equations, first, second and fourth equations are exponential equations whereas the third equation does not satisfy the condition of being an exponential equation. It is an algebraic expression containing the variable $x$ .

Conclusion:

Therefore, the third equation does not belong with the other three equations.