Question

2 to the power x plus 3 equals to 4 to the power x - 1

Answer 1

Hey friend,
Here is the answer you were looking for:
${2}^{x + 3} = {4}^{x - 1} \\ \\ {2}^{x + 3} = {(2}^{2} )^{x - 1} \\ \\ {2}^{x + 3} = {2}^{2 x - 2} \\ \\as \: the \: bases \: are \: same \\ so \: putting \: the \: powers \: equal \\ \\ x + 3 = 2x - 2 \\ \\ x - 2x = - 2 - 3 \\ \\ - x = - 5 \\ \\ x = 5$

Hope this helps!!!

@Mahak24

Thanks...
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Answer 2

${2}^{x + 3} = {4}^{x - 1} \\ or. \: {2}^{x + 3} = { {2}^{2(x - 1)}} \\ or. \: x + 3 = 2(x - 1) \\ or. \: x + 3 = 2x - 2 \\ or. \: x = 5$
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