Question

If x and y are positive real numbers, and log(y) = 1 + log(x), express y in terms of x.

Answer 1

Answer:
`y=10^(10x)`

Explanation:

Given

Equation
`\log \left ( y\right )=1+\left ( x\right )`

We know

`\log_a b=x`

`b=a^x`

and
`\log m+\log n=\log \left ( m\cdot n\right )`

Applying identities

`\log \left ( y\right )=\log \left ( 10\right )+\left ( x\right )`

`\log \left ( y\right )=\log \left ( 10x\right )`

`y=10^(10x)`