Question

Find the value of x from 8power 2x+2 =16power 3x -1 ​

Answer 1

Hey...

Here is your answer

Hope it helps

Answer 2

${8}^{2x + 2} = {16}^{3x - 1} \\ \\ {( {2}^{3} )}^{2x + 2} = { ({2}^{4}) }^{3x - 1} \\ \\ {2}^{6x + 6} = {2}^{12 x- 4}$

so,

$6x + 6 = 12x - 4 \\ 10 = 12x - 6x \\ 6x = 10 \\ x = \frac{10}{6} \\ \\ x = \frac{5}{3}$

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