Substitution Method:
3x - 10 = 2x - 5
3x = 2x + 5
x = 5
Now solving for y:
y = 3x - 10
y = 3(5) - 10
y = 15 - 10
y = 5
(x, y) = (5, 5)
Check answer:
5 = 3(5) - 10
5 = 15 - 10
5 = 5
5 = 2(5) - 5
5 = 10 - 5
5 = 5
Since all of the equalities are true, (5, 5) is a true solution
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.
To learn more about the logarithmic functions, visit here:
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80 percent of 52.5 percent of the trip is 42 percent
therefore, 4 hours and 12 min (or 252 min) is 42 percent of the trip
so
252/.42 = x/1
x = 600 min
the whole trip was 10 hours
Answer: x^(5/6)
Step-by-step explanation: screenshot
