Question

Gabriel is using logarithms to solve the equation 52x = 27. Which of the following equations would be equivalent to his original expression?

5 log 2x = log 27
2 log 5 = x log 27
x log 5 = 2 log 27
2x log 5 = log 27

Answer 1

52\(^x\)=27 , like this, right?

Answer 2

no

Answer 3

5^2x=27

Answer 4

5\(^{2x}\)=27 ?

Answer 5

take log of both sides.

Answer 6

and then apply the rule:

log(c\(^w\))=w log(c)

Answer 7

5\(^{2x}\)=27
when you take the log of both sides, you get:
log(5\(^{2x}\))=log(27)

then apply the rule that I posted right before this, and you get?

Answer 8

i think

Answer 9

yes, that is right!

Answer 10

thank u

Answer 11

Alright!, Yw!