Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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

1 Answer

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

1300 views around the world

You can reuse this answer
Creative Commons License