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7^x-3 = 4^2x
I did xlog7 - 3log7 = 2xlog 7 but don't know what to do from there
Bring the x logs onto the same side of the equation and convert back.
Original post by bl64
7^x-3 = 4^2x
I did xlog7 - 3log7 = 2xlog 7 but don't know what to do from there


should be 2xlog4 on righthand side.
Reply 3
Original post by brianeverit
should be 2xlog4 on righthand side.


That gave me -3log7 = 2xlog4 -xlog7

that equals -3log7 = x (log (2x4/7)

so x would equal -3log7/ log(8/7) and that gives me the wrong answer
Reply 4
Original post by bl64
That gave me -3log7 = 2xlog4 -xlog7

that equals -3log7 = x (log (2x4/7)

so x would equal -3log7/ log(8/7) and that gives me the wrong answer

Not quite


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Reply 5

so what do I do then?
Reply 6
Original post by bl64
so what do I do then?


You multiply the logs (numbers inside) like you did. And add (in this case subtract) the coefficients.

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Reply 7
Original post by Aph
You multiply the logs (numbers inside) like you did. And add (in this case subtract) the coefficients.

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don't quite understand can you show me?
Reply 8
Original post by bl64
don't quite understand can you show me?


X*log (4/7)

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Reply 9


the answer in the book was -7.06
Reply 10
Original post by bl64
the answer in the book was -7.06


So you divide -log (7) by log(4/7) which gives you x which should be -7.06

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Reply 11
Original post by Aph
So you divide -log (7) by log(4/7) which gives you x which should be -7.06

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unfortunately it doesn't
Reply 12
Original post by bl64
unfortunately it doesn't


How far off is it?

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Original post by bl64
7^x-3 = 4^2x
I did xlog7 - 3log7 = 2xlog4 but don't know what to do from there



So

xlog7 - 2xlog4 = 3log7

xlog7 - xlog16 = log343

x=log343log716x = \dfrac{log343}{log\frac{7}{16}}
Reply 14
Original post by TenOfThem
So

xlog7 - 2xlog4 = 3log7

xlog7 - xlog16 = log343

x=log343log716x = \dfrac{log343}{log\frac{7}{16}}


thanks, I forgot that 2log4 is log4^2

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