Answer:
In mathematics, the logarithm is the inverse function to exponentiation. That means the logarithm of a given number x is the exponent to which another fixed number, the base b, must be raised, to produce that number x.
Step-by-step explanation:
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Answer:
m∠8 = 123°
Step-by-step explanation:
<em>∠1 and ∠8 are alternate exterior angles</em>, and since lines A and B are parallel, then <em>they must be congruent</em>.
So, m∠1 = m∠8
Substitute: 123 = m∠8
Divide 24 by 3 to figure out how many cubes are in 1 step (24/3=8). Now divide 84 by 8 to figure out how many steps he built with 84 cubes (84/8=10.5). Ron's second staircase has 10 and a half steps :)
7) We are given

. Recall that e is a real, albeit irrational, number, and it is given that G is the final number of bacteria, A is the initial, t is the time.
We want to solve for t when G = 700 and A = 4.
We substitute into the equation and get

, which is

.
To solve for t, we need to remember that the natural logarithm is the inverse of an exponent with base e. We take the ln of both sides like so.

8) We are solving the equation for t when P = 5,000, r = 2% = 0.02, n = 12 (it's compounded 12 times in a year), and A = 10,000.

We first divide both sides by 5,000. Then, we take the natural log (ln) of both sides and simplify to solve for t.
t = 34.686 years