Logarithyms are fun :V

Algebra Level 1

Find k.


The answer is 16.

Christian Daang by Christian Daang , 20, Philippines

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3 solutions

Christian Daang
Oct 21, 2014

log(x * x^3 * x^14)-log(x^2) =klog x

klog x =log(x^18) - logx^2

klog x = log[x^18/x^2]=

klog x =log[x^(18-2)]

klog x =logx^16

16logx = klog x

=>k=16.

3 Helpful 0 Interesting 0 Brilliant 0 Confused
William Martin
Oct 24, 2014

Use basic laws of logs to get all the powers on the left together then anti log :)

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Ritam Baidya
Dec 1, 2014

USING laws of multiplication for log..we have log (x.x^3.x^14)/(x^2) which simplifies to log (x^16) which is written as 16 (log x) thus k=16 is our ANSWER

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