davelopez979
26.05.2020 •
Mathematics
Which is the same as asking:
To what power must 5 be raised to get 3,125?
1. [A] What is log5 5?
2.[B] What is log5 3,125?
3. [C]What is log3,125 5?
4. [D]What is log5 x=3,125?
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Ответ:
Look at y variable and the expressions to which it is equal; substitute the easier-looking one in the more complicated.
Applying this, we get: 2x+2=x^2+3x-4
x^2+x-6=0.
Solving this equation of 2nd degree, we have a=1, b=1, c=-6 and we get Δ=25 and the solutions are -3 and 2. Hence, we get that the only possible values for x are -3 and 2.
To get the solutions, we have to also find the corresponding y-values:
For x=-3, y=2x+2=-4. For x=2, y=6.
Hence, the 2 pairs of solutions are: (-3,-4) and (2,6)