Question #2cd37

Question

1578 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2017-12-17T18:36:41

Apply logarithms

#6^(x+9)=7^x

'Applying logarithms (remember that the dominion is (x+9>0 and x>0):

$(x + 9) ln 6 = x ln 7$ $(x+9)ln6=xln7$

$x ln 6 - x ln 7 = - 9 ln 6$ $xln6-xln7=-9ln6$

$x ln (\frac{6}{7}) = - 9 ln (6)$ $xln(6/7)=-9ln(6)$

$x = - \frac{9 ln (6)}{ln (\frac{6}{7})}$ $x=-(9ln(6))/ln(6/7)$

$x ~ - 104.61$ $x~-104.61$