HELP!! SHORT QUESTION! How are exponential functions and logarithmic functions "opposites"? How are they different?

Answer

Explanation:

The inverse of an exponential function is a logarithmic function and the inverse of a logarithmic function is an exponential function. Notice also on the graph that as x gets larger and larger, the function value of f(x) is increasing more and more dramatically. The inverse of the exponential function y = ax is x = ay. The logarithmic function y = logax is defined to be equivalent to the exponential equation x = ay. y = logax only under the following conditions: x = ay, a > 0, and a≠1.

3. republican abraham lincoln

4. south carolina

5. charleston, south carolina

6. confederates

7. minie bullet - made defense even safer, it spun faster, traveled further and was five times more accurate than any single-man weapon. able to kill at half a mile, it was the largest contributor to battle wounds

      or the the gatling gun - the most successful of several rapid-fire guns that were born before the war. its efficiency in killing only made war more deadly.

idk which one u learned about. pick one.

8. the south was fighting to maintain its way of life, whereas the north was fighting to maintain a union. so they had will, and the north were fighing on unfamiliar territory

9. union had the large population, people to fight in the war and work in the factories to make war materials, industrial base, the factories to make these war materials. the union also was wealthier than the confederacy and could finance the war.

10. stonewall jackson

11. chancellorsville

12. gettysburg

13. sherman

some of these might be wrong but i tried my best.   : )