Recent content by nvez

Homework Statement Pardon me first of all for any mistakes, I study in a French school so I might use incorrect terms I have to find the solutions for the following formula: sin^2 ( x - pi/4 ) = 1 Homework Equations None? The Attempt at a Solution I've mostly only worked with...

I understood what was done! (x-1)ln2 = ln5 + 3xln7 x ln 2 - ln 2 = ln 5 + 3xln7 x ln 2 - 3x ln 7 = ln 5 + ln 2 x (ln 2 - 3 ln 7) = ln 5 + ln 2 x = ln 5 + ln 2 / ln 2 - 3 ln 7 Thanksss!

Thank you, that is very helpful, I understand how you got from xln2 - 3xln7 = ln5 + ln2 to x = (ln5 + ln2) / (ln2 - 3ln7) but I don't really understand what happened with the (x-1) when you go from (x-1)ln2 = ln5 + 3xln7 to xln2 - 3xln7 = ln5 + ln2 Thank you in advanced.

Homework Statement This one has has me pretty lost, I'm not at all sure what to do, I've tried a couple of things. I have to find x. 2(x-1) = 5(73x) Homework Equations Logarithm laws? The Attempt at a Solution (did multiple attempts but my most reasonable to my account) 2(x-1) =...

Thank you, I have resolved my problem with the following: ln 64 + 2 (ln x) = 2 (ln 18 - ln x) ln 64 + 2 ln x = 2 ln 18 - 2 ln x ln 64 - 2 ln 18 = -2 ln x - 2 ln x ln 64 - 2 ln 18 = -4 ln x ln 64 - ln 324 = ln x-4 ln (64/324) = ln x-4 (64/324) = x-4 (64/324)1/-4 = x 1.5 = x Thanks...

Homework Statement Find x in the following equation (ln 64 / 2) + ln x = ln 18 - ln x The answer should be x = 3/2 Homework Equations Logarithm laws ln m - ln n = ln (m/n) The Attempt at a Solution I tried two methods: (ln 64 / 2) + ln x = ln 18 - ln x ln 32 + ln x = ln 18...

Woops! It should have been 5x if it was x/x but it's x/1. Thank you very much again. :)

Homework Statement Resolve the following equation: log2 x + log2 [(x-3)/5)] = 3 Homework Equations Logarithmic laws: logc m + logc n = logc mn The Attempt at a Solution Restriction: (x-3)/5 > 0 x-3 > 0 x > 3 Resolution: log2 x + log2 [(x-3)/5)] = 3 log2 x[(x-3)/5)] = 3 log2 [(x2 - 3x)/5x]...

Ahh, I see! Thank you very much again! :)

That was my problem! I got it all figured out now. Thank you very much! I appreciate your help and your dedicated time to this!

Hello, I understand the current concept of the characteristic however there either is a mistake in my answerbook or I made a mistake log15 850 = 850(1/15) = 1.568 The characteristic should be 1 and the mantissa is 0.568 -- My answer book says it's 2. I have done all my other exercices...

The exact thing I needed! Thank you guys, I can't appreciate this enough.

Hello again.. Homework Statement I I have to change this to one term only, the valid answer is: log (x + 1) The term is: 2 log (x2 - 1) - log (x + 1) - 2 log (x - 1) Homework Equations Logarithmic laws: x log n = log nx log m - log n = log (m/n) The Attempt at a Solution I...

Thank you very much! For future reference: logc m = logs m / logs c In this case: log2 9 / log2 10 = log10 9 log 9 - log 3 = log (9/3) = log 3 Thanks again.

Homework Statement I have to take the following equation and make it one single log [log_{2} 9/log_{2} 10] - log 3 The answer is equal to: log 3 I usually know how to do this however I have no clue in this case, I have the answer however. Homework Equations None? log x - log y...