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...
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) =...
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...
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...
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...