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Stella [2.4K]
2 years ago
11

3^x+2 + 3^x+1 = 4/3 solve​

Mathematics
1 answer:
nikdorinn [45]2 years ago
8 0

{3}^{x + 2}  + 3 ^{x + 1}  =   \frac{4}{3}  \\  = >   {3}^{x}   \times   {3}^{2}  +  {3}^{x}   \times  3 =  \frac{4}{3}  \\  =  >  {3}^{x}  \times 9 +  {3}^{x}  \times 3 =  \frac{4}{3}  \\  =  >  {3}^{x} (9 + 3) =  \frac{4}{3}  \\  =  >  {3}^{x}  \times 12 =  \frac{4}{3}  \\  =  >  {3}^{x}  =  \frac{4}{3}  \times  \frac{1}{12}  \\  =  >  {3}^{x}  =  \frac{1}{3 \times 3}  \\  =  >  {3}^{x} =   {3}^{ - 2}  \\  =  > x =  - 2

<u>Answer</u><u>:</u>

<u>x </u><u>=</u><u> </u><u>-</u><u>2</u>

Hope you could understand.

If you have any query, feel free to ask.

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Hope it helped!

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