Question

Вычислите log(3)7*log(7)5*log(5)9+1 в скабках-это основание помогите решить

Answer 1

Log₃ 7×log₇ 5×log₅ 9+1=(log₇ 5/ log₇ 3)×(log₇ 9/ log₇ 5)+1=log₇ 9/ log₇ 3+1=2 log₇3/ log₇ 3+1=2+1=3

Answer 2

Calculating log(3)7*log(7)5*log(5)9+1

To calculate the value of log(3)7*log(7)5*log(5)9+1, we can use the properties of logarithms. Let's break down the calculation step by step.

1. Using the properties of logarithms: - We can use the property that log(a)b = log(c)b / log(c)a to simplify the expression.

2. Solving the expression step by step: - First, we'll calculate log(3)7 and log(7)5 using the property mentioned above. - Then, we'll calculate log(5)9 using the same property. - Finally, we'll add 1 to the result of the previous calculation.

3. Calculation: - Using the property log(a)b = log(c)b / log(c)a, we can simplify the expression as follows: - log(3)7 = log(7)7 / log(7)3 - log(7)5 = log(5)5 / log(5)7 - log(5)9 = log(9)9 / log(9)5

- After simplifying each part, we'll add 1 to the final result.

4. Final Result: - We'll calculate the simplified expression and provide the final result.

Let's proceed with the calculation.