Simplify 5 log2 k − 8 log2 m + 10 log2 n. a. 7 log2 (k − m + n) b. 7 log2 kn over m c. log2 50 kn over 8 m d. log2 k to the fifth power n to the tenth power/ m to the eighth power
The numerical coefficients of the logarithm are originally, the exponents of the variables. Such that, log₂k⁵ - log₂m⁸ + log₂n¹⁰ Then the addition means we multiply them and subtraction means divide. The final answer would be, log (k⁵n¹⁰/m⁸)
Acompany manufactures large valves, packed in boxes. a shipment consists of 1500 valves packed in 75 boxes. each box has the outer dimensions 1.2 x 0.8 x 1.6 m and the inner dimensions 1.19 x 0.79 x 1.59 m. the boxes are loaded on a vehicle (truck + trailer). the available capacity in the vehicle combination is 140 m3. each valve has a volume of 0.06 m3. - calculate the load factor on the box level (%). - calculate the load factor on the vehicle level (%). - calculate the overall load factor (%).