3 years ago

Complete the table below to solve the equation $2x + 12 = 4^x$

1 answer:

5 0

2(2) + 12 = 4^(2)
4 + 12 = 16
16 = 16

only x = 2 will have f(x)=g(x) so x = 2 is answer

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Shtirlitz [24]

Answer:

x = $\frac{32}{3}$

Step-by-step explanation:

We know that p(x) = 13. Thus, substitute 13 for the "p(x)" in the equation. Then, isolate x by subtracting both sides by $\frac{7}{3}$ :

$p(x) = x + \frac{7}{3}\\13 = x + \frac{7}{3} \\13 - \frac{7}{3} = x \\\frac{39}{3}- \frac{7}{3} = x \\\frac{32}{3} = x$

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