Which expressions are equivalent to (7^-2)*(7^6)
2 answers:
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Answer:
x = +2, x = -2
Step-by-step explanation:
The equation to solve in this problem is
The first step we do is to subtract 35 on both sides of the equation, so we get:
Now we simplify the equation by dividing both terms by 10:
Now we observe that the term on the left is the difference between two squares, so it can be rewritten using the property:
Where here,
a = x
b = 2
So we can rewrite the equation as:
And this equation is zero when either one of the two factors is zero, so the two solutions are:
Answer:
Step-by-step explanation:
Raising e to both sides cancels out the natural logarithm on the left side and we have our exponential form. This works with other bases (recall that the natural logarithm, ln, has base e)