Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{\dfrac{(\sqrt[3]{\mathsf{32}})^x}{4^{x - 1}} = 8^{3x}}[/tex]
[tex]\mathsf{\dfrac{(\sqrt[3]{\mathsf{2^5}})^x}{(2^2)^{x - 1}} = (2^3)^{3x}}[/tex]
[tex]\mathsf{\dfrac{2^{5x/3}}{2^{2x - 2}} = 2^{9x}}[/tex]
[tex]\mathsf{\dfrac{5x}{3} - (2x - 2) = 9x}[/tex]
[tex]\mathsf{5x - 6x + 6 = 27x}[/tex]
[tex]\mathsf{28x = 6}[/tex]
[tex]\mathsf{x = \dfrac{6 \div 2}{28 \div2}}[/tex]
[tex]\boxed{\boxed{\mathsf{x = \dfrac{3}{14}}}}[/tex]
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Resposta:
[tex]\textsf{Leia abaixo}[/tex]
Explicação passo a passo:
[tex]\mathsf{\dfrac{(\sqrt[3]{\mathsf{32}})^x}{4^{x - 1}} = 8^{3x}}[/tex]
[tex]\mathsf{\dfrac{(\sqrt[3]{\mathsf{2^5}})^x}{(2^2)^{x - 1}} = (2^3)^{3x}}[/tex]
[tex]\mathsf{\dfrac{2^{5x/3}}{2^{2x - 2}} = 2^{9x}}[/tex]
[tex]\mathsf{\dfrac{5x}{3} - (2x - 2) = 9x}[/tex]
[tex]\mathsf{5x - 6x + 6 = 27x}[/tex]
[tex]\mathsf{28x = 6}[/tex]
[tex]\mathsf{x = \dfrac{6 \div 2}{28 \div2}}[/tex]
[tex]\boxed{\boxed{\mathsf{x = \dfrac{3}{14}}}}[/tex]