Question

Please help guys anything will be helpful

Answer 1

`~~~~~2^(x+1) = 3^x\\\\\implies \ln \left(2^(x+1)\right) = \ln\left(3^x \right)\\\\\\\implies (x+1) \ln 2 = x \ln 3\\\\\\\implies \frac{x+1}x = (\ln 3)/(\ln 2)\\\\\\\implies 1+ \frac 1x = (\ln 3)/(\ln 2)\\\\\\\implies \frac 1x = (\ln 3 )/( \ln 2)-1\\\\\\\implies \frac 1x = ( \ln 3 - \ln 2)/(\ln 2)\\\\\\\implies x = (\ln 2)/(\ln 3 - \ln 2)\\\\\\\implies x \approx 1.7095\\\\\\`