Solve for $$ x $$ : (a) $$ 4.3^{x}+3^{x}=15 $$ (c) $$ 2^{x+2}+2^{x-2}+2^{x}=84 $$

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Solve the equation $$ 2^{x+2}+2^{x-2}+2^{x}=84 $$.
Solve the equation by following steps:
- step0: Solve for $$x$$:
  $$2^{x+2}+2^{x-2}+2^{x}=84$$
- step1: Add the terms:
  $$21	imes 2^{x-2}=84$$
- step2: Divide both sides:
  $$\frac{21	imes 2^{x-2}}{21}=\frac{84}{21}$$
- step3: Divide the numbers:
  $$2^{x-2}=4$$
- step4: Rewrite in exponential form:
  $$2^{x-2}=2^{2}$$
- step5: Set the exponents equal:
  $$x-2=2$$
- step6: Move the constant to the right side:
  $$x=2+2$$
- step7: Add the numbers:
  $$x=4$$
The solutions to the equations are:
(a) $$ x \approx 1.47 $$
(c) $$ x = 4 $$
$$ x \approx 1.47 $$ and $$ x = 4 $$.

Solve for :
(a)
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