Simplity a) $$ 3^{n+4}-6=3^{n+1} $$

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Calculate or simplify the expression $$ 3^{n+4}-6=3^{n+1} $$.
Solve the equation $$ 3^{n+4}-6=3^{n+1} $$.
Solve the equation by following steps:
- step0: Solve for $$n$$:
  $$3^{n+4}-6=3^{n+1}$$
- step1: Move the expression to the left side:
  $$3^{n+4}-6-3^{n+1}=0$$
- step2: Calculate:
  $$26	imes 3^{n+1}-6=0$$
- step3: Rewrite the expression:
  $$26	imes 3^{n+1}=6$$
- step4: Divide both sides:
  $$\frac{26	imes 3^{n+1}}{26}=\frac{6}{26}$$
- step5: Divide the numbers:
  $$3^{n+1}=\frac{3}{13}$$
- step6: Take the logarithm of both sides:
  $$\log_{3}{\left(3^{n+1}ight)}=\log_{3}{\left(\frac{3}{13}ight)}$$
- step7: Evaluate the logarithm:
  $$n+1=\log_{3}{\left(\frac{3}{13}ight)}$$
- step8: Move the constant to the right side:
  $$n=\log_{3}{\left(\frac{3}{13}ight)}-1$$
- step9: Simplify:
  $$n=-\log_{3}{\left(13ight)}$$
The simplified form of the equation $$3^{n+4}-6=3^{n+1}$$ is $$n=-\log_{3}{(13)}$$.
The simplified form of the equation is $$ n = -\log_{3}{13} $$.

Simplity a) \( 3^{n+4}-6=3^{n+1} \)

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