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olga2289 [7]
2 years ago
10

3(2^x) = 6^2x How do you solve this?

Mathematics
1 answer:
iragen [17]2 years ago
7 0
3(2^x)=6^{2x}
3(2^x)=(3\times2)^{2x}
3(2^x)=3^{2x}2^{2x}
\ln(3(2^x))=\ln(3^{2x}2^{2x})
\ln3+\ln2^x=\ln3^{2x}+\ln2^{2x}
\ln3+x\ln2=2x\ln3+2x\ln2
\ln3=2x\ln3+2x\ln2-x\ln2
\ln3=x(2\ln3+\ln2)
x=\dfrac{\ln3}{2\ln3+\ln2}
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