Solve the equation 2|3^x-1|=3^x . giving your answsers to 3 sig figures.
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Originally Posted by Matt512 Solve the equation 2|3^x-1|=3^x . giving your answsers to 3 sig figures. first let's assume that $|3^x-1|\geq 0$ then we solve $2(3^x-1)=3^x$ Spoiler: $2\cdot 3^x - 2 = 3^x$ $3^x = 2$ $x = \log_3(2) = 0.631$ Now if we assume $|3^x-1|\leq 0$ we solve $2(1-3^x)=3^x$ Spoiler: $2-2\cdot 3^x = 3^x$ $2 = 3\cdot 3^x=3^{x+1}$ $\log_3(2)=x+1$ $x=\log_3(2)-1=-0.369$ so $x=0.631$ OR $x=-0.369$
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