Solving exponential equations Solve for x: 3^x+1 +3^x =324

asked Dec 21, 2015 132k views

5 votes

Solving exponential equations
Solve for x: 3^x+1 +3^x =324

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3^(x+1) + 3^x = 324 <=> (3^x)*3 + 3^x = 324 <=> (3^x)( 3 + 1) = 324 <=> (3^x)*4 = 324 <=> 3^x = 81 <=> 3^x = 3^4 <=> x = 4.

Jaybers answered Dec 24, 2015

8.0k points

4 votes

$3^(x+1)+3^x=324\\\\3\cdot3^x+3^x=324\\\\3^x\cdot(3+1)=324\\\\4\cdot3^x=324\ \ \ /:4\\\\3^x=81\\\\3^x=3^4\iff x=4$

Adirio answered Dec 27, 2015

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