Question

Solve for x 2^x+1 -1 = 1

Answer 1

${(2)}^{x + 1} - 1 = 1 \\ \\ = > {(2)}^{x + 1} = 1 + 1 \\ \\ = > {(2)}^{x + 1} = 2 \\ \\ now \: \: bases \: \: are \: \: same \\ \: \: equating \: \: thier \: \: powers \\ \\ = > x + 1 = 1 \\ \\ = > x = 1 - 1 \\ \\ = > x = 0$


Check
$LHS \\ {(2)}^{0 + 1} - 1 \\ \\ {(2)}^{1} - 1 \\ \\ 2 - 1 = 1( RHS)$