If a logarithm has a coefficient, then the coefficient can also be written as the exponent of the input of the logarithm. In other words, if you have the logarithm alog(x), that is equal to log(x^a). So the expression can be rewritten:
log(x^2)+log(y^3)
If tow logarithms of the same bases are added together that is equal to the logarithm of the product of the inputs of the two original logarithms. In other words, given log(x)+log(y), it can also be written as log(xy). So the expression can be combined into one logarithm:
log(x^2 * y^3)
Answer: 3.017hp
Step-by-step explanation: 745.7watts = 1hp
2250watts will be (2250/745.7)hp
i.e 3.017watts
The place value is millions place
Answers:
<em>How much did the temperature change from Sunday High to Mondays High?</em>
Change = 4 °C
<em>What was the difference between the high temperatures on Friday and Wednesday?</em>
Difference = 10 °C
Explanation:
Taking into account the graph, we get that the high temperature each day is:
Sunday: -10°C
Monday: -6 °C
Tuesday: - 4 °C
Wednesday: -6 °C
Thursday: 0 °C
Friday: 4 °C
Saturday: -2 °C
So, the change from Sunday High to Mondays High can be calculated as:
Change = Monday - Sunday
Change = -6 °C - (- 10 °C)
Change = -6 °C + 10 °C
Change = 4 °C
In the same way, the difference between the high temperatures on Friday and Wednesday can be calculated as:
Difference = Friday - Wednesday
Difference = 4 °C - (-6 °C)
Difference = 4 °C + 6 °C
Difference = 10 °C
Therefore, the answers are:
<em>How much did the temperature change from Sunday High to Mondays High?</em>
Change = 4 °C
<em>What was the difference between the high temperatures on Friday and Wednesday?</em>
Difference = 10 °C
