Question

3 ^ A = 5 ^ B = 7 ^ C = 105 1/A + 1/B + 1/C =

Answer 1

Ответ:

1

Пошаговое объяснение:

на фото

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Answer 2

To find the values of A, B, and C and calculate the expression 1/A + 1/B + 1/C, we can use the given equations:

1. 3^A = 5^B = 7^C = 105

First, let's find the values of A, B, and C.

Since 3^A = 105, we can find A by taking the logarithm base 3 of 105:

A = log3(105)

Similarly, B and C can be found as follows:

B = log5(105) C = log7(105)

Now, let's calculate the values of A, B, and C:

A ≈ 4.1155 (rounded to 4 decimal places) B ≈ 2.6157 (rounded to 4 decimal places) C ≈ 2.4393 (rounded to 4 decimal places)

Now that we have the values of A, B, and C, we can calculate the expression 1/A + 1/B + 1/C:

1/A + 1/B + 1/C ≈ 0.2423

So, 1/A + 1/B + 1/C is approximately equal to 0.2423 when rounded to four decimal places.