[tex]\textcolor{blue}{ \: pergunta : \: }[/tex]
1. Resolva as seguintes equações exponenciais :
A) 2^x + 2^x+³ = 16
B) 2³x = 8⁶-²x
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[tex]\textcolor{red}{ \: resposta : \: }[/tex]
[tex]\textcolor{blue}{ \: 2x + 2x + 3 = 16 \: \: }[/tex]
[tex]\textcolor{blue}{ \: 4x + 3 = 16 \: \: }[/tex]
[tex]\textcolor{blue}{ \:4x = 16- 3 \: \: }[/tex]
[tex]\textcolor{blue}{ \: 14x = 13\: \: }[/tex]
[tex]\textcolor{red}{ \:X = \frac{13}{4} \: \: }[/tex]
[tex]\textcolor{blue}{ \: 2 {}^{3} x = {8}^{6} - 2x \: \: }[/tex]
[tex]\textcolor{blue}{ \: 8x = {8}^{6} - 2x\: \: }[/tex]
[tex]\textcolor{blue}{ \: 8x + 2x = {8}^{6} \: \: }[/tex]
[tex]\textcolor{blue}{ \:10x = {8}^{6} \: \: }[/tex]
[tex]\textcolor{blue}{ \: X = \: \ \frac{ { \: \: 8}^{6} }{10} \: \: }[/tex]
[tex]\textcolor{blue}{ \: X = \frac{ {2}^{5} \times \: {4}^{6} }{5} \: \: }[/tex]
[tex]\textcolor{blue}{ \: X = \frac{32 \: \times \: 4096}{5} \: \: }[/tex]
[tex]\textcolor{red}{ \: X = \frac{131072}{5} \: \: }[/tex]
[tex]☕ \: \textcolor{blue}{ \: Bons \: Estudos \: ! \: \: }☕[/tex]
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Vamos Calcular passo a passo !
[tex]\textcolor{blue}{ \: pergunta : \: }[/tex]
1. Resolva as seguintes equações exponenciais :
A) 2^x + 2^x+³ = 16
B) 2³x = 8⁶-²x
____________________________________________
[tex]\textcolor{red}{ \: resposta : \: }[/tex]
Calcule da seguinte forma !
A)
[tex]\textcolor{blue}{ \: 2x + 2x + 3 = 16 \: \: }[/tex]
[tex]\textcolor{blue}{ \: 4x + 3 = 16 \: \: }[/tex]
[tex]\textcolor{blue}{ \:4x = 16- 3 \: \: }[/tex]
[tex]\textcolor{blue}{ \: 14x = 13\: \: }[/tex]
[tex]\textcolor{red}{ \:X = \frac{13}{4} \: \: }[/tex]
B)
[tex]\textcolor{blue}{ \: 2 {}^{3} x = {8}^{6} - 2x \: \: }[/tex]
[tex]\textcolor{blue}{ \: 8x = {8}^{6} - 2x\: \: }[/tex]
[tex]\textcolor{blue}{ \: 8x + 2x = {8}^{6} \: \: }[/tex]
[tex]\textcolor{blue}{ \:10x = {8}^{6} \: \: }[/tex]
[tex]\textcolor{blue}{ \: X = \: \ \frac{ { \: \: 8}^{6} }{10} \: \: }[/tex]
[tex]\textcolor{blue}{ \: X = \frac{ {2}^{5} \times \: {4}^{6} }{5} \: \: }[/tex]
[tex]\textcolor{blue}{ \: X = \frac{32 \: \times \: 4096}{5} \: \: }[/tex]
[tex]\textcolor{red}{ \: X = \frac{131072}{5} \: \: }[/tex]
____________________________________________
[tex]☕ \: \textcolor{blue}{ \: Bons \: Estudos \: ! \: \: }☕[/tex]