inverse of log(6) is 1.28
Explanation:
We have , a expression log(6) . Let y = log(6) . We need to find inverse of y .
Let inverse of y be
. So we know that multiplication of y and i'ts inverse will be 1 i.e.
⇒
![y(y^(-1)) = 1](https://img.qammunity.org/2021/formulas/mathematics/middle-school/ws6uwr6xel1nxk237t46pwfy45rs7cjrzg.png)
⇒
![(yy^(-1))/(y) = (1)/(y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/3hwgwfma3x3fe6k74qtyrf4f83fi28afrg.png)
⇒
![y^(-1) = (1)/(y)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/lw4o72u0x34tpbyw7ecx7ok1x4qte93b31.png)
but
![y = log6](https://img.qammunity.org/2021/formulas/mathematics/middle-school/syzi0bft9axkkygb2wv5kuzb0mtfbi2l0b.png)
⇒
{
}
⇒
![y^(-1) = (1)/(0.778)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/jxe7x5h4mc1cwz5760plpkx0b9khfn5psz.png)
⇒
![y^(-1) =1.28](https://img.qammunity.org/2021/formulas/mathematics/middle-school/omico8as4fzfydf5nk6v3qfx7d8xjs3sbt.png)
Therefore, inverse of log(6) is 1.28