Find the solution of the exponential equation, correct to four decimal places.
5^x=4^(x+2)

Question

Find the solution of the exponential equation, correct to four decimal places.
5^x=4^(x+2)

anonymous · Answer

$\large 5^x=4^{x+2} $
$\large 5^x=4^x \cdot 4^2 $
$\large \frac{5^x}{4^x}= 4^2 $
$\large (\frac{5}{4})^x= 2^4 $
$\large x\cdot ln(\frac{5}{4})=4ln2 $
$\large x\cdot (ln5-ln4)=4ln2 $
$\large x\cdot (ln5-2ln2)=4ln2 $
$\large x=\frac{4ln2}{ln5-2ln2} $

anonymous · Answer

now just use your calculator....

anonymous · Answer

THANK YOU SO MUCH!!!!!!! I WOULD HAVE NEVER THOUGHT OF DOING THAT!!

anonymous · Answer

yw... i don't have a calculator but wolfram will do.... http://www.wolframalpha.com/input/?i=solve+5%5Ex%3D4%5E%28x%2B2%29