Question

Solve this2^x=3^(x+1) what are the exact and approximate solutions

Answer 1

Take the logarithm of both sides

x = $log_{2}$(3)x +$log_{2}$ (3)

Move expression

x-$log_{2}$(3)x = $log_{2}$(3)

Factor out x

x(1-$log_{2}$(3)) =$log_{2}$(3)

Divide

x = ($log_{2}$(3)) / (1-$log_{2}$(3))

x≈ -2.70951