Search: of a^2+b^2=2ab, prove log[(a+b)/2]=1/2(loga+logb)

If x=loga(bc), y=logb(ca), and Z=logc(ab). Prove that x+y+Z=xyZ-2 If loga+ logb=logab show that (a+b)²-(a-b)²=4ab loga^u-loga^v+3logaw write as single log if logb C= A, explain why logb 1/c = -a If logb^z=1/3logb^x+logb^y, write z in terms of x and y. I need all of the steps. I need this AS... logb x= logb(x+2)-logb8 Loga^2+loga=1.solve for a. Let logb 2=2.217 and logb 3=3.417. Find logb 3b Please walk me through this steo by step. logb+zlogc Given that logb(5)=1.32 find the value of logb(1/sqrt(5)) logb+zlogc=log( ) Find the value of logb square root b - loga(1/a) What would an example of a logarithmic function that contains a radical within it and a quotient wit... loga(x-5)-loga(x+9)=loga(x-7)-loga(x+9) all the a's are lower please show work If loga 8=2.079, loga 5=1.609, and loga 3=1.099, find the following? 19.) loga 8/3 is this 1.89?... If a^2+b^2=2ab then loga given that loga 16 - loga 8=1 find a a). 4 b). 2 c). 10 d). 5? if loga(b)=1/48 what is the value of logb(a^2) ? If loga(x + b) = c, then x is equal to where a is the base. a. x = a^c – b *this is the answer*... Change of Base Formula logb x = loga x/loga b to evaluate log14 41. (Round your answer to thre... solve. 3^x+1=4^X+1 its a logarithm If X=loga(n), y=logc(n) where nis not equal to one . Prove that x-y/x+y=logb(c)-logb(a)/logb(c)+logb... Can you evaluate using the logarithm table Please help...Evaluate the logarithmic equation for three values of x that are greater than 1, three... solve the equation loga(x-5)- loga (x+9)=loga(x-7)-loga(x+9) all a's are lower please show... Write the equation for the logarithmic function that has the following transformation from the paren... write in the form of logA: log2 + log12 3log5 + 2log3 1/4log81 log36 - log12 Multiple Choice Expand the logarithmic expression. log8 (1 point) Responses log82 – log8a log 8 2 –... Logb(base a)=3/2 log d(base c)=5/7 and a-c=9 then b-d=? Plz help me Logb(base a)=3/2 log d(base c)=5/7 and a-c=9 then b-d=? 7. If logb(a)⋅logc(a)⋅logc (b) = 25 and a2/c2 = ck, what is the sum of all possible values of k? prove sin(x+y)+sin(x-y)/cos(x+y)+cos(x-y)=tanx Given:AD=20 AC=15 Prove:CD=5 prove cos(x+y) / cos(x-y) = (1-tan x tan y)/(1+tan x tan y) prove that tan^2x+ sec^2x =1 Prove That 0/0=2 prove that cos 52 + cos 68 + cos172 = 0 if a,b,c, are in h.p. prove that a^2+c^2> 2b^2 ? answer= 1/a,1/b, and 1/c are in h.p. =1/b-1/a=1/c-1... Prove that |x+y+z| is less than or equal to |x|+|y|+|z|. Please try to show working and explain Prove that: x - tan^-1(x) = tan^-1{(tanx - x)/(xtanx + 1)} plz help If A+B+C=2S then prove that cos (S-A) + cos (S-B) + cos (S-C) + cos S = 4 cos A/2 cos B/2 cos C/2. Prove that {NOT, AND, NOR} are universal... Sn=(n^2+n)^1/2 - n Prove that Sn < 1/2 for all n if A+B+C=π prove that sin(B+2C)+sin(C+2A)+sin(A+2B)=4sin(B-C)/2 sin(C-A)/2 sin(A-B)/2 If x+y=45°, prove that {(cotx+1)(coty+1)}/{cotx×coty}=2 Please help me in this TRIGONOMETRY pro... prove that tan(π/4+x/2)+tan(π/4-x/2)=2sec x Prove that cos(A+B) + sin(A-B) = 2sin(45°+A)cos(45°+B) Prove that if 3n^2+5 is odd, then n is even. Please post a detailed answer. Thank you. if x=1/(2-3^1/2) prove that x^3-2x^2-7x+5=3 I want to prove that JM is parallel to KL. IfA=340°, prove that 2sinA/2 = -(v1+sinA) + (v1-sinA) IfA=340°, prove that 2cosA/2 = -(v1+sinA) - (v1-sinA) Prove that:sin(x+2y)+sin(y+2z)+sin(z+2x)=4sin(x-y)/2sin(y-z)/2sin(z-x)2 Prove if f(p) = 0 where abs(f) is continuous at p, then f is continuous at p. Note: we have only lea... prove that (2×4×6×8×....2016)-(1×3×5×...2015)is divisible by 2017 prove that : cos^3(θ)sin^2(θ)=1/16[2cos(θ)-3cos(θ)-5cos(θ)] Prove that cos^6A+sin^6A=1/4(1+3cos^22A) If A + B + C = 180° prove that Sin2A + sin2B – sin2C = 4cosAcosBsinC If A + B + C = 180°, Prove that Cos²A + Cos²B - Cos²C = 1 – 2sinAsinBcosC Prove 1+cos X/1-cos X = (csc X + cot X)squared prove that (sin^4x-cos^4x)/(sinx-cosx) = sinx+cosx Prove that a^3 ≡ a (mod 3) for every positive integer a. What I did: Assume a^3 ≡ a (mod 3) is... Prove cos^2 α + cos?^2 β + cos^2 γ = 1 . Thank You prove (tan^3x/1 tan^2x) (cot^3x/1 cot^2) = (1-2sin^2x cos^2x)/sinx cosx Prove that cos(A+B+C)+cos(-A+B+C)+cos(A-B+C)+cos(A+B-C)/sin(A+B+C)+sin(-A+B+C)-sin(A-B+C)+sin(A+B-C... Prove the following to be an identity (cotx + cscx)*(1-cosx)=sin x How to prove that the {The integral with limit a to b *(the integral with limit x to b f(t)dt}dx=in... Prove that ab=(a,b)[a,b] Prove that if c^2 = a^2 + b^2, it does not follow that a = b + c. Any help would be appreciated.... (1) Prove: If AB = 5x, BC = 2x –4, and AC = 52, then x = 8. (2) Prove: If AB = CD, then AC = BD. Prove that, H^2=P^2+B^2 Prove that (2a,4a), (2a,6a) and (2a+a root3,5a) are vertices of an equilateral triangle. Prove that if x ∉ B and A ⊆ B, then x ∉ A. Prove (A1 + A2 +...+ An)^T = A1^T + A2^T +...+ An^T using Mathimatical Induction. Prove: sin^212+sin^221+sin^239+sin^248=1+sin^29+sin^218 Prove csc(pi/2-x)=sec x. a. csc(pi/2-x)=1/sin(pi/2)cosx+cos(pi/2)cosx=sec x b. csc(pi/2-x)=1/sin... Prove that- tan^-1(1/2tan 2A)+tan^-1(cotA)+tan^-1(cot^3A) ={0,ifpi/4<A<pi/... prove that x^6-x^5-x^4-x^3-x^2-x+1>0 is true for any number Please someone explain to me this, I... If A + B + C = π, prove that: ( sin2A + sin2B + sin2C ) / ( sinA + sinB + sinC ) = 8 sin(A/2) sin(B... How do I prove the following Identity? sec x(sec x-cos x)=tan^2x If there is a certain website... prove (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=3(a^2-b^2)(b^2-c^2)(c^2-a^2) how to prove that (a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=3 (a^2-b^2)(b^2-c^2)(c^2-a^2) please help prove that 1+1/4+.........+1/n^2<2-1/n Prove that if A∩B = A∪B then A=B. Having troubles figuring this one out. If xy log(x+y) = 1, prove that dy/dx = -y(x^2y +x+ y)/x(xy^2 + x + y) Someone please help me prove these A) cos^4x-sin^4x=cos2x B)tanx=sin^2x/1+cos^2x Pl... . Prove that -x - y = -y – x; for all integers x and y. Prove each of the following identities. a)tan^2x = 1 – cos^2x/cos^2x b)sinx/1 – sin^2x = tanx/cosx... Prove that (a,0),(0,b) and (1,1) are collinear,if 1/a+1/b=1. prove dat Cos(18°) = 1/4√10+2√5 If x : y = a : b, prove that x : y : (x + y) = a : b : (a + b) prove (a) A(+B)=AB & (b) A+B=A+B both algebraically and using the truth table. Prove 3(x+1)(x+7)-(2x+5)² is never positive So, 3(x+1)(x+7)-(2x+5)(2x+5) =3(x²+8x+7)-(4x²+20x+... I can't seem to prove these trig identities and would really appreciate help: 1. cosx + 1/sin^3x... how do you prove A-B = B-A prove that sin (60+x) sin (420-x) = 1+ 2cos2x/2 Prove that if ab = ac (mod n) and a is relatively prime to n, then b = c (mod n). Proof: a and n... 1. Prove sin - cos +1/ sin + cos - 1 = sin +1/cos 2. 1+ sin/ 1- sin = (sec + tan)^2 Thanks!! Why 0!=1 Plz help me to prove this statement. How do I prove that tan(x/2) =( plus/minus) sqrt(1-cos(x/1+cos(x))