How do you solve 2log x = 4log 7?

1 Answer
Alan P.
Dec 24, 2015

x=49

Explanation:

Remember:
color(white)("XXX")a*log(c) = log(c^a)

Therefore
color(white)("XXX")2log(x)=4log(7)

rarrcolor(white)("XXX")log(x^2)=log(7^4)

rarrcolor(white)("XXX")x^2=7^4

rarrcolor(white)("XXX")x=7^2=49

Related questions
See all questions in Logarithmic Models
Impact of this question
1421 views around the world
You can reuse this answer
Creative Commons License