Question

solve for x :
2^x +1 = 8^2x+7

Answer 1

Answer:

$x = - 4$

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Step-by-step explanation:

${2}^{x + 1} = {8}^{2x + 7} \\since \: 8 = {2}^{3} \\ {2}^{x + 1} = {2}^{3(2x + 7)} \\ comparing \: same \: bases \\ x + 1 = 6x + 21 \\ - 21 + 1 = 6x - x \\ - 20 = 5x \\ x = ( - 20) \div 5 \\ x = - 4$

Answer 2

Answer:

Value of x = -4

Step-by-step explanation:

Hope it helps