Question

Solve for x . Help me solve them

Answer 1

`\\(1).\\\\(1.7898)^(2x) = (1.7898)^6\\\\\implies \ln(1.7898)^(2x) = \ln(1.7898)^6\\\\\implies 2x \ln(1.7898) = 6 \ln(1.7898)\\\\\implies 2x =6\\\\\implies x = \frac 62 =3\\\\(3).\\\\2^(5x -6) = 4^(x+9)\\\\\implies 2^(5x -6) = (2^2)^(x+9)\\\\\implies 2^(5x-6) = 2^(2x+18)\\\\\implies \ln(2^(5x-6)) = \ln(2^(2x+18))\\\\\implies (5x -6) \ln 2 = (2x +18) \ln 2\\\\\implies 5x -6 = 2x +18\\\\\implies 5x -2x = 18 +6\\\\\implies 3x = 24\\\\\implies x = \frac{24}3 =8`