Answer:
(1,0)
Step-by-step explanation:
The point that f(x) = log₂x and g(x) = log₁₀x have in common is where both graph intersect.
Recall that the logarithm of 1 is 0.
This implies that, when we plug in x=1 into both function we get 0.
g(1) = log₁₀1=0
f(1) = log₂1=0
This means the two graphs intersect at (1,0)
Therefore the graphs of f and g have (1,0) in common
You can't just change negative numbers into positive numbers. They're completely different things.
I'm sure you worked with the number line in school. Do you remember how the negatives are on one side of zero, and the positives are on the other side ?
You dress a lot different when it's 40 degrees below zero outside, compared to what you put on when it's 40 degrees above zero. They're completely different numbers.
In the same way, 1,400 feet below sea level is the lowest spot on Earth, at the Dead Sea in Israel, but 1,400 feet above sea level is like somewhere in Nebraska or northern Texas. They're completely different numbers.
Answer:
y = 2x + 1/3
Step-by-step explanation:
Since the line is parallel to y = 2x - 5, its slope is also 2x, as parallel lines have the same slope, leaving you with y = 2x.
Since it intercepts the y-axis at 1/3, and y = 2x intercepts the y-axis at 0, you will now need to add a 1/3 to the end of the equation for it to intersect the y-axis at the right place.
Therefore, the equation is: y = 2x + 1/3
