Question

7^4log7^3/27........​

Answer 1

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Answer 2

It looks like you want to simplify the expression 7^4 * log(7^3/27). Let's break it down step by step:

1. Start with the expression: 7^4 * log(7^3/27).

2. First, simplify the inside of the logarithm: 7^3/27 = (7^3)/(3^3) = (7/3)^3.

3. Now, rewrite the expression with the simplified inside: 7^4 * log((7/3)^3).

4. Use the properties of logarithms to bring the exponent down as a coefficient: 7^4 * 3 * log(7/3).

5. Now, you can calculate 7^4 and multiply it by 3: 7^4 = 2401. 2401 * 3 = 7203.

6. So, the simplified expression is: 7203 * log(7/3).

Now, if you want a numerical approximation for this expression, you can calculate the logarithm:

log(7/3) ≈ 0.847997.

Finally, multiply 7203 by the approximate value of the logarithm:

7203 * 0.847997 ≈ 6112.292.

So, the simplified expression is approximately 6112.292.