Question

190 = 200^b, make b the subject​

Answer 1

b =
`(ln190)/(ln200)`

Explanation:

Using the rule of logarithms

log
`x^(n)` ⇔ nlogx

Given

190 =
`200^(b)` ( take the natural log ln of both sides )

ln190 = ln
`200^(b)` = bln200 ( divide both sides by ln200 )

`(ln190)/(ln200)` = b