Use the rules of logarithms and the rules of exponents.
... ln(ab) = ln(a) + ln(b)
... e^ln(a) = a
... (a^b)·(a^c) = a^(b+c)
_____
1) Use the second rule and take the antilog.
... e^ln(x) = x = e^(5.6 + ln(7.5))
... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents
... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms
... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)
2) Similar to the previous problem, except base-10 logs are involved.
... x = 10^(5.6 -log(7.5)) . . . . . take the antilog. Could evaluate now.
... = (1/7.5)·10^5.6 . . . . . . . . . . of course, 10^(-log(7.5)) = 7.5^-1 = 1/7.5
... x ≈ 53,080.96
The answer is x=5 and y=-2
Answer:
2 1/3
Step-by-step explanation:
1 3/4 is equivalent to 7/4
1 1/3 is equivalent to 4/3
7/ 4 x 4/3
reduce with greatest common factor so the two 4 are out (show a line crossing out the top and bottom 4 )
now you're left with 7 x 1/3 = 7/3
7/3 = 2 1/3
Answer:
Step-by-step explanation:
loose (8+5) yards so they lost 13 yards
and obviously they gained 11 yards according to the information given.
