Science

Math

Humanities

... and beyond

Socratic Meta
Featured Answers

Topics

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

1 Answer

Dec 24, 2015

$x = 49$ $x=49$

Explanation:

Remember:
$XXX a \cdot log (c) = log (c^{a})$ $color(white)("XXX")a*log(c) = log(c^a)$

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

$\to XXX log (x^{2}) = log (7^{4})$ $rarrcolor(white)("XXX")log(x^2)=log(7^4)$

$\to XXX x^{2} = 7^{4}$ $rarrcolor(white)("XXX")x^2=7^4$

$\to XXX x = 7^{2} = 49$ $rarrcolor(white)("XXX")x=7^2=49$

Related questions

See all questions in Logarithmic Models

Impact of this question

1413 views around the world

You can reuse this answer
Creative Commons License