Question

How do you solve `5(1+10^6x) = 12`?

Answer 1

Rearrange and take logs if necessary to find `x`.

Explanation:

I'm not sure whether your question appears as intended, so I will answer both interpretations:

`bb (5(1+10^6x) = 12)`

Divide both sides by `5` to get:

`1+10^6x = 12/5`

Subtract `1` from both sides to get:

`10^6x = 7/5`

Divide both sides by `10^6` to get:

`x = 7/(5*10^6) = 0.0000014`

`bb (5(1+10^(6x)) = 12)`

Divide both sides by `5` to get:

`1+10^(6x) = 12/5`

Subtract `1` from both sides to get:

`10^(6x) = 7/5`

Take common logarithms of both sides to get:

`6x = log(7/5)`

Divide both sides by `6` to get:

`x = log(7/5)/6 ~~ 0.02435`