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vivado [14]
3 years ago
12

Solve (1/81)^x = 243^x-9

Mathematics
1 answer:
user100 [1]3 years ago
4 0

Answer:

x=5

Step-by-step explanation:

(1/81)^x=(243)^x-9

(1/3^4)=3^5(x-9)

3^-4x=3^5(x-9)

-4x=5(x-9)

-4x=5x-45

-4x-5x=-45

-9x=-45

x=5

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3 years ago
<img src="https://tex.z-dn.net/?f=A%28x%29%3D3%5E2" id="TexFormula1" title="A(x)=3^2" alt="A(x)=3^2" align="absmiddle" class="la
kogti [31]
It is good equation. Look, that:
81 = 3 x 3 x 3 x 3 = 3^4.
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3^x = 3^4 
exponents have to be the same, so
x=4
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