Question

Solve 10^0.7(10^2.3 (w/10) = 4800 Give the integer closest to the answer

Answer 1

To solve the given equation, simplify the exponents, substitute the values, solve for w/10, and then solve for w. The closest integer to the answer is 48.

Step-by-step explanation:

To solve the given equation 10^0.7(10^2.3 (w/10) = 4800:

1. Start by simplifying the exponents: 10^0.7 = 5.01 and 10^2.3 = 199.53.
2. Substitute the values into the equation: 5.01(199.53(w/10)) = 4800.
3. Multiply 199.53 by (w/10): (w/10)(5.01)(199.53) = 4800.
4. To solve for w/10, divide both sides by (5.01)(199.53): w/10 = 4800 / ((5.01)(199.53)).
5. Multiply both sides by 10 to solve for w: w = 10 * (4800 / ((5.01)(199.53))).

After performing the calculations, the closest integer to the answer would be 48.3619, which can be rounded to 48.