Question

if log y=3(log 4 + log x), express y in terms of x. serious answers only please no files or nun of that.

Answer 1

The expression is
`y = 64 + x^(3)`.

Explanation:

Let be
`\log y = 3\cdot (\log 4 + \log x)`, the "log" component is refered to logarithms with base 10. By definition of logarithm and its properties, we derive an expression of
`y` in terms of
`x`:

`\log y = 3\cdot (\log 4 + \log x)`

`10^(\log y) = 10^(3\cdot (\log 4 + \log x))`

`y = 10^(3\cdot \log 4)+10^(3\cdot \log x)`

`y = 10^{\log 4^(3)}+10^{\log x^(3)}`

`y = 64 + x^(3)`

The expression is
`y = 64 + x^(3)`.