If x+ ₁₀ (1+2^x )=x ₁₀ 5+ ₁₀ 6 then x is equal to

Step-by-step solution

aligned & x+ ₁₀ (1+2^x )=x ₁₀ 5+ ₁₀ 6 & x-x ₁₀ 5= ₁₀ 6- ₁₀ (1+2^x ) & x (1- ₁₀ 5 )= ₁₀ 6- ₁₀ (1+2^x ) & x ( ₁₀ 10- ₁₀ 5 )= ₁₀ ( 6 1+2^x ) & x ( ₁₀ ( 10 5 ) )= ₁₀ ( 6 1+2^x ) & x ₁₀ 2= ₁₀ ( 6 1+2^x ) aligned This is possible only when x=1 .