log_(5)(1)/(2)cdot log_(2)(1)/(7)cdot log_(7)(1)/(5)=

Question

Answer 1

To solve the given expression, we can use the properties of logarithms.The expression is:

We can rewrite the expression as:

Now, we can use the change of base formula to rewrite the logarithms with a common base:

Substituting these values back into the expression, we get:

Now, we can simplify the expression by combining the logarithms:

Using the properties of logarithms, we can rewrite the numerator as:

Simplifying the numerator, we get:

Now, we can rewrite the denominator as:

Substituting the numerator and denominator back into the expression, we get:

Using the properties of logarithms, we can rewrite the numerator as:

Now, we can rewrite the denominator as:

Substituting the numerator and denominator back into the expression, we get:

Now, we can simplify the expression by canceling out the common factors in the numerator and denominator:

Therefore, the final answer is:

Вопрос