The expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
What is a logarithmic function?
A logarithmic function in mathematics is defined as the function which is the inverse of the exponential function. It is denoted by using the word log. For example log 10 = 1
Expanding the given logarithm: log 2 x³y⁻²
Given logarithmic expression is log 2 x³y⁻²
Applying given properties of logarithmic function;
log a + log b = log (ab)
2 log a = log a^2
Now, log 2 x³y⁻² = log 3 + log x³ + log y⁻²
= log 3 + 3 log x - 2 log y
Hence, the expanded logarithm of log 2 x³y⁻² is = log 3 + 3 log x - 2 log y.
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Answer:
The tree is 12 yards tall
Step-by-step explanation:
The sum of three consecutive integers is three times the middle one: if we call the middle one 
, the three numbers are
So, their sum is 
Which is three times the middle one.
So, if the sum of three consecutive intergers is 48, the middle one must be 48/3 = 16.
So, the three numbers are 15, 16 and 17
22. If you add a number to a series of data, and it doesn't change the mean, that number MUST equal the mean. Try adding the mean number into it, hopefully it doesn't change the mode or median either.
23. Basically I think (can't quite read all the question!) just work out the circumference of a circle with radius 20 feet (urgh imperial), ie 2*pi*r so 40pi.
