Question

(1/2 -1/3). 6^x.6^x+2=6¹⁵

Answer 1

\(\left(\dfrac{1}{2}-\dfrac{1}{3}\right)\cdot6^x\cdot6^{x+2}=6^{15}\)

\(\Rightarrow\dfrac{1}{6}\cdot6^{x+2+x}=6^{15}\)

\(\Rightarrow6^{2x+3}=6^{15}:\dfrac{1}{6}\)

\(\Rightarrow6^{2x+2}=6^{16}\)

\(\Rightarrow2x+2=16\)

\(\Rightarrow2x=16-2\)

\(\Rightarrow2x=14\)

\(\Rightarrow x=7\)

Answer 2

1/6 . 6^x . 6^x.6²=6¹⁵

             6^x+2.6=6¹⁵

             6^2x     = 6¹⁵/6

             6^2x     =6¹⁴

         =>2x      = 14

        =>x         = 14:2

        =>x         = 7