Solve the following equation Solve the following equation 4x

Solve the following equation.

Solve the following equation. 4^x - 1 = 121 (3^x)

4^x = 121(3^x)

Taking natural log on both sides:

ln(4^x) = ln(121(3^x))

Applying log property : ln(a*b) = lna +lnb

ln(4^x) = ln(121) + ln(3^x)

Applying log property : ln(a^x) = x*lna

xln4 = ln121 + xln3

x( ln 4 - ln3 ) = ln121

x = ln(121)/( ln4 - ln3)

=ln121/ln(4/3) =4.795 / 0.287 = 16.71

x = 16.71 (Ans)