
Why does #lna - lnb = ln(a/b)#? - Socratic
2017年10月1日 · # A = ln a iff a = e^A #, # B = ln b iff b = e^B # # C = ln (a/b) iff a/b = e^C # From the last definition we have: # a/b = e^C => e^C = (e^A)/(e^B) # And using the law of indices: # …
SOLUTION: Suppose that x=ln(A) and y=ln(B). Write the following …
One log rule is ln(A)-ln(B) = ln(A/B) But there isn't a log rule for ln(A-B) I think there might be a typo in your textbook. I suppose this could be one pathway to take, but it's a bit convoluted …
How do you differentiate #y=b^x? - Socratic
2016年7月30日 · dy/dx=b^x *ln b From the given y=b^x ln y=ln b^x ln y=x*ln b d/dx(ln y)=d/dx(x*ln b) (1/y)*y'=(x*0+ln b) y'=y*ln b y'=b^x*ln b God bless.....I hope the explanation is useful.
If ln (a) = ln (b). Is that mean a=b? - Socratic
2017年10月29日 · Yes, a=b [a and b >0] lna = lnb Clearly {a and b} >0 for this equation to be valid. Raise e to the power of each side of the equation. e^(lna) = e^(lnb) Remember that e^lnx …
f (x)=(ln (c^2))(ln (a^4/b^2))^-1 - Algebra Homework Help
You can put this solution on YOUR website! Let ln (a)=2, ln (b)=3, ln (c)=5. Solve: f (x)=(ln (c^2))(ln (a^4/b^2))^-1
SOLUTION: If ln a=2, ln b=3, and ln c=5, evaluate the following: In ...
If ln a=2, ln b=3, and ln c=5, evaluate the following: In square root a^3 b^2 c^1
What is the derivative of b^x where b is a constant? - Socratic
2016年1月11日 · d/dx[b^x]=b^x*lnb First, note that b^x=e^ln(b^x)=e^(xlnb) This allows us to differentiate the function using the chain rule: d/dx[e^(xlnb)]=e^(xlnb)*d/dx[xlnb] Just like …
How do you expand #ln ((sqrt(a)(b^2 +c^2))#? - Socratic
2015年12月12日 · #=1/2 ln(a) + ln (b+c i) + ln (b - c i)# based on the fact that #b^2+c^2 = (b+c i)(b - c i)#, but there are some problems with this. For example, if #b = -1# and #c = 0# then we …
SOLUTION: Suppose that x=ln(A) and y=ln(B). Write the following ...
Question 1180001: Suppose that x=ln(A) and y=ln(B). Write the following expressions in terms of x and y (so you cannot have an A or B anywhere in your answers). 1. ln(A−B) Thank you! …
How do I find the natural log of a fraction? - Socratic
2015年12月13日 · Apply the identity ln(a/b) = ln(a) - ln(b) Logarithms have the following useful properties: ln(ab) = ln(a) + ln(b) ln(a^x) = xln(a) (As an exercise, try confirming these using the …