The numerator of fraction is 1 less then its denominator if the numerator is increased by 5 the new fraction becomes equivalent to 4/5 what is the original factor?

4/5

Step-by-step explanation:

the numerator of fraction is 1 less than its denominator. If the numerator is increased by 4 and the denominator is increased by 5, the new fraction becomes equivalent to 4/5. what is the original fraction?

Let n = numerator

d = denominator

n = d - 1

=

=

cross multiply

5(d + 3) = 4(d + 5)

5d + 15 = 4d + 20

d = 5

n = d - 1

5 - 1 = 4

original fraction 4/5

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

add a pic of the graph, then ill edit this "answer" and solve it for you : 3

step-by-step explanation: