Question

Log4 (x - 7) = 3
solve for x

Answer 1

I know you all might want the steps too but the way i used in solving it is pretty long, but the answer is
2log2(x−7)=3

log2(x−7)=​3/2

x−7=​3/2log2​​​

x−7=3/​2log2​​


`x = (3)/(2 log(2) )+ 7`
i hope this help

Answer 2

Firstly we apply the rule:
`a=\log _b\left(b^a\right)`:

`image`

When the logarithms have same base, the following rule applies:
`\log _b\left(f\left(x\right)\right)=\log _b\left(g\left(x\right)\right) \Rightarrow f\left(x\right)=g\left(x\right)`.

And now we simply solve the linear equation:

`image`.