Question

How do you solve `4(1 + 10^(5x) ) = 9`?

Answer 1

I found: `x=0.0194`

Explanation:

Let us try to arrange it:
`1+10^(5x)=9/4`
`10^(5x)=9/4-1`
`10^(5x)=(9-4)/4`
`10^(5x)=5/4`
let us take the log in base `10` of both sides:
`log_(10)[10^(5x)]=log_(10)[5/4]`
giving:
`5x=log_(10)[5/4]`
and:
`x=(log_(10)[5/4])/5=0.0194`