Author Topic: exponential equations (Read 1466 times) Tweet Share

tolga · « **on:** December 30, 2009, 05:50:45 pm »

sove for x
C:\Users\TEMP\Pictures\Untitled.jpg

stonecold · « **Reply #1 on:** December 30, 2009, 05:53:48 pm »

Can you write it normally, or copy the pic from the text?

kriptik · « **Reply #2 on:** December 30, 2009, 06:11:53 pm »

wheres x in the picture?

brightsky · « **Reply #3 on:** December 30, 2009, 06:13:45 pm »

Out of curiosity, how do you solve this equation (assuming that he meant this):

$1.386 = x log_e2$

brightsky · « **Reply #4 on:** December 30, 2009, 06:15:33 pm »

Also, how do you solve log squared?

Say:

$log^2_2 x = 5$

Damo17 · « **Reply #5 on:** December 30, 2009, 06:16:51 pm »

Quote from: brightsky on December 30, 2009, 06:13:45 pm

Out of curiosity, how do you solve this equation (assuming that he meant this):

$1.386 = x log_e2$

$1.386=x \ log_e 2$

$\frac{1.386}{x}=log_e 2$

$\therefore$ $x=\frac{1.386}{log_e 2}$

brightsky · « **Reply #6 on:** December 30, 2009, 06:18:11 pm »

Ah I see. Cheers.

Stroodle · « **Reply #7 on:** December 30, 2009, 06:28:03 pm »

Quote from: brightsky on December 30, 2009, 06:15:33 pm

Also, how do you solve log squared?

Say:

$log^2_2 x = 5$

$(log_2x)^2=5$

$log_2x=\pm\sqrt{5}$

$x=2^{\sqrt{5}}$ or $x=2^{-\sqrt{5}}$

brightsky · « **Reply #8 on:** December 30, 2009, 06:30:51 pm »

Ah thanks. But I don't think that would work with the equation on tolga's other post..

$log_2 (x^4) = log^2_2 x$

I've only done one step:

$4 log_2 x = log^2 _ 2 x$

Stroodle · « **Reply #9 on:** December 30, 2009, 06:38:17 pm »

I've never actually solved an equation with a squared log, but I would say:

$log_2x^4=(log_2x)^2$

$4=\frac{(log_2x)(log_2x)}{log_2x}$

$4=log_2x$

$\therefore x=16$

But this must be missing a solution, and I'm too tired to think right now...

brightsky · « **Reply #10 on:** December 30, 2009, 06:44:52 pm »

and x = 1 I think.

Thanks!! Was getting all tangled up with that one.

tolga · « **Reply #11 on:** December 30, 2009, 07:27:17 pm »

how did you get x=1

Stroodle · « **Reply #12 on:** December 30, 2009, 07:48:58 pm »

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Author Topic: exponential equations (Read 1466 times) Tweet Share

tolga

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