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maths : logarithms !! (1 Viewer)

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pLuvia

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There must be an easier way of doing that question but here's my version:
32x.5x=73x-1
ln[32x.5x]=ln[73x-1]
xln9+xln5=ln73x-1
x(ln9+ln5)=ln73x-1
x(ln45)=ln73x.7-1
x(ln45)=xln73ln7-1
x(ln45-ln343)=-ln7
x=[-ln7]/[ln(45/343)]
 

ice ken

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z600 said:
Soul Searcher, mind having a go at this one, half the year 12 students cant do this one and yes i go to a comprehensive high school


3^2x*5^x=7^3x-1
we dont need it thats y
 

z600

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pLuvia said:
There must be an easier way of doing that question but here's my version:
32x.5x=73x-1
ln[32x.5x]=ln[73x-1]
xln9+xln5=ln73x-1
x(ln9+ln5)=ln73x-1
x(ln45)=ln73x.7-1
x(ln45)=xln73ln7-1
x(ln45-ln343)=-ln7
x=[-ln7]/[ln(45/343)]
ye thats the long way around
 

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