Question

Express this equation in logarithmic form. y = 10^x

X=

Answer 1

For this case we must find the value of the variable "x" of the following equation:

`y = 10^(x)`

We rewrite the equation as:

`10 ^ {x} = y`

We take the logarithmic base 10 from both sides of the equation to remove the variable from the exponent.

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

The logarithmic base 10 of 10 is 1.

`x * 1 = log (y)\\x = log (y)`

ANswer:

`x = log (y)`