If f [10x power] = x, then f [5] is equal to= Let 10 ^ x = t, then x = LGT That is, f (x) = lgx ((why can t be changed into x in LGT in this step?) So f (5) = lg5

If f [10x power] = x, then f [5] is equal to= Let 10 ^ x = t, then x = LGT That is, f (x) = lgx ((why can t be changed into x in LGT in this step?) So f (5) = lg5


f(10^x)=x
Let 10 ^ x = t
lg10^x=lgt
lg10^x=lgt
x=lgt
f(10^x)=x
f(t)=lgt
So f (x) = lgx
f(5)=lg5



Known: the x power of 2 minus the negative x power of 2 is equal to 3. Please write the solution process of the x power of 4 plus the negative x power of 4!


4^x + 4^-x
= 2^2x + 2^-2x
= (2^x - 2^-x) ^ 2 + 2
= 3 ^ 2 + 2 = 11
It's like this



The third power of 4 + the second power of 3 is greater than 2 × 4 × 3. What conclusion can we draw from this


This shows that the sum of the cubic power of 4 and the quadratic power of 3 is much greater than the sum of the four three and three two. It also shows that the power of 4 has a higher order than the multiple