If a & # 178; > b > a > 1, compare log B B / A, log B a, log a B

If a & # 178; > b > a > 1, compare log B B / A, log B a, log a B


logb b/a-logb a=logb (b/a²)
∵a²>b>a>1
∴b/a²1
∴loga b>logb a
∴loga b>logb a>logb b/a



If 0
loga(b)


Because 0



It is known that log (14) 7 = A and log (14) 5 = B. try a and B to represent log (35) 28


log(14)7+log(14)5=㏒(14)35=[㏒(35)35]/[㏒(35)14]=1 / [㏒(35)14]=a+b;㏒(35)14=1/(a+b)log(14)7=[㏒(35)7]/[㏒(35)14]=a ㏒(35)7=a/(a+b)㏒(35)14=1/(a+b)=㏒(35)...



If the eccentricity of ellipse x ^ 2 / (log8 / loga) + y ^ 2 / 9 = 1 is known to be 0.5, then the value of a is obtained


If log (a) 8 > 9
The focus is on the X axis
c=√[log(a)8-9]
Then E = √ [log (a) 8-9] / √ log (a) 8 = 1 / 2
√log(a)8=2√[log(a)8-9]
log(a)8=4log(a)8-36
log(a)8=12
a^12=8
a=log(8)12
If log (a) 8