2 years ago

190 = 200^b, make b the subject

Mathematics

1 answer:

MArishka [77]2 years ago

3 0

Answer:

b = $\frac{ln190}{ln200}$

Step-by-step 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 )

$\frac{ln190}{ln200}$ = b

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190 = 200^b, make b the subject​

190 = 200^b, make b the subject