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Logarithms and exponential functions

e^(3x+4y)=2e^(2x-y)
e^(2x+y)=8e^(x+6y)
Solve the simulteneous equation giving your ans in exact form
Original post by Shas72
e^(3x+4y)=2e^(2x-y)
e^(2x+y)=8e^(x+6y)
Solve the simulteneous equation giving your ans in exact form

What rules did you learn for manipulating powers, in GCSE?
Reply 2
Original post by David Getling
What rules did you learn for manipulating powers, in GCSE?

So you do e^3x×e^4y×e^y/e^2x =2
Original post by Shas72
So you do e^3x×e^4y×e^y/e^2x =2

And what is the rule for dividing powers?
Reply 4
Original post by David Getling
And what is the rule for dividing powers?

So I got e^(x+5y)=2 and e^(x-5y)=8
Reply 5
Original post by David Getling
And what is the rule for dividing powers?

Thanks a lot
Reply 6
Original post by David Getling
And what is the rule for dividing powers?

Can you also pls help me with one more problem
Solve ln(2x+1)<ln(x+4)
When I did this I get only x<3 , but the ans is -1/2<x<3
Original post by Shas72
Can you also pls help me with one more problem
Solve ln(2x+1)<ln(x+4)
When I did this I get only x<3 , but the ans is -1/2<x<3

What is the domain of ln?

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