miacorners
miacorners
11-05-2017
Mathematics
contestada
3(2^x) = 6^2x
How do you solve this?
Respuesta :
LammettHash
LammettHash
11-05-2017
[tex]3(2^x)=6^{2x}[/tex]
[tex]3(2^x)=(3\times2)^{2x}[/tex]
[tex]3(2^x)=3^{2x}2^{2x}[/tex]
[tex]\ln(3(2^x))=\ln(3^{2x}2^{2x})[/tex]
[tex]\ln3+\ln2^x=\ln3^{2x}+\ln2^{2x}[/tex]
[tex]\ln3+x\ln2=2x\ln3+2x\ln2[/tex]
[tex]\ln3=2x\ln3+2x\ln2-x\ln2[/tex]
[tex]\ln3=x(2\ln3+\ln2)[/tex]
[tex]x=\dfrac{\ln3}{2\ln3+\ln2}[/tex]
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