Answer:
q = log4 / log0.53
q = -2.189
Step-by-step explanation:
(0.53)^q = 4
Taking log of both sides!
q log 0.53 = log 4
q = log 4 / log 0.53
q = 0.602 / -0.275
q = - 2.189
This can be checked to confirm correctness.
Substituting q = -2.189
(0.53)^ -2.189 = 1/ 0.249
= 4.01 Proved!
(Note that the "1" is because of the negative sign)
Answer: All real numbers are solutions.
Step-by-step explanation:
Let's solve your equation step-by-step.
2(3x−1)=6x−2
Step 1: Simplify both sides of the equation.
2(3x−1)=6x−2
(2)(3x)+(2)(−1)=6x+−2(Distribute)
6x+−2=6x+−2
6x−2=6x−2
Step 2: Subtract 6x from both sides.
6x−2−6x=6x−2−6x
−2=−2
Step 3: Add 2 to both sides.
−2+2=−2+2
0=0
Beverly hit 14 home runs because 7 minus 21 is 14
Let's create a table, and use arbitrary values of x between -3 and 3 (if the solution is not in this interval, we can use another one later). If we call:

We want to find the x's for with f(x) = 0
This is the table:
And now we can evaluate f(x) in each value of x to complete the table:

The table is:
If we use this values and plot them in the cartesian plane.
We get:
And now if we plot a line that connects the points, we get the graph of the quadratic equation:
Since the problem ask us to find the value of x for which f(x) = 0, we can see both in the table and in the graph that this value is x = 2