Answer:
x = i π n + log(20)/2 for n element Z
Step-by-step explanation:
Solve for x:
500 = 25 e^(2 x)
500 = 25 e^(2 x) is equivalent to 25 e^(2 x) = 500:
25 e^(2 x) = 500
Divide both sides by 25:
e^(2 x) = 20
Take the natural logarithm of both sides:
2 x = 2 i π n + log(20) for n element Z
Divide both sides by 2:
Answer: x = i π n + log(20)/2 for n element Z
Answer:

Step-by-step explanation:
The applicable rules of exponents are ...

Your ratio simplifies to ...

_____
Please note that simplifying the constants, -8/10 to -4/5, eliminates half the answer choices. Since exponents are only multiplied when a power is raised to a power, you can pretty much eliminate the second choice as being unreasonable. ((a^b)^c = a^(bc))
Answer:
-3
Step-by-step explanation:
Bring -2 to the other side and A to the other side
<em>-</em><em>2</em><em> </em><em>Become </em><em>2</em><em> </em><em>because </em><em>of </em><em>flipping</em>
<em>And </em><em>A </em><em>becomes </em><em>-A </em><em>because </em><em>of </em><em>flipping</em>
<em>2</em><em>-</em><em>2</em><em>+</em><em>3</em><em>=</em><em>-A</em>
<em>Flip </em><em>the </em><em>whole </em><em>equation </em><em>to </em><em>avoid </em><em>confusion</em>
<em>-A=</em><em>2</em><em>-</em><em>2</em><em>+</em><em>3</em>
<em>-</em><em>A=</em><em>+</em><em>3</em>
Bring the minus sign to the other side,
<u>A=-3</u>
<u>-</u><u>3</u><u> </u><u>-</u><u>2</u><u> </u><u>+</u><u>3</u><u> </u><u>=</u><u> </u><u>-</u><u> </u><u>2</u>
<u>Which </u><u>make </u><u>the </u><u>statement</u><u> </u><u>correct.</u>
<u>I hope </u><u>this </u><u>explanation</u><u> </u><u>helps, dont hesitate to ask for any question.Mark me as brainliest is appreciated.Tq!!</u>