Question

if 2^x+1 = 3^1-x find value of x

Answer 1

${2}^{x + 1} = {3}^{1 - x}$

add log on both sides

$log( {2}^{x + 1} ) = log( {3}^{1 - x } ) \\( x + 1) log(2) = (1 - x) log(3)$

xlog2 + log2 = log3 - xlog3

xlog2+ xlog3 = log3-log2

xlog(2×3) = log3/2

x = log3/2/log 6