The lengths of the sides of an equilateral triangle are $$\(\log _{4} a, \log _{10} b\)$$, and $$\(\log _{25}(a+b)\)$$, where $$\(a\)$$ and $$\(b\)$$ are positive numbers. What is the value of $$\(\frac{a}{b}\)$$ ?
A.
\(\frac{\sqrt{5}-1}{2}\)
B.
\(\frac{\sqrt{5}+1}{2}\)
C.
\(\frac{\sqrt{5}}{2}\)
D.
none of above
Exam No:2020-2021 Math League First Round Grades 8-9 Year:2021 Question No:20
Answer:
A
Knowledge points:
G8-9 - Algebra - Logarithm Properties (Introductory)
Solution:
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