How many solutions does 25-4x=15-3x+10-x have
2 answers:
Answer: The given equation will have infinite number of solutions.
Step-by-step explanation: We are given to check the number of solutions to the following equation :
To find the number of solutions, we must solve the given equation.
The solution of equation (i) is
which is always true.
Thus, the given equation will have infinite number of solutions.
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Answer:
Step-by-step explanation:
We have the following function
y = 12^x, and we need to find the inverse function.
To find the inverse function we should solve the equation for "x". To do so, first, we need to:
1. Take the logarithm in both sides of the equation:
lg_12 (y) = log _12 (12^x)
(Please read lg_12 as: "Logarithm with base 12")
From property of logarithm, we know that lg (a^b) = b*log(a)
Then:
lg_12 (y) = x*log _12 (12)
We also know that log _12 (12) = 1
Then:
x = log_12(y).
Then, the inverse of: y= 12^x is: