One-half of a number,
increased by 69 is 74.
What is the number?

10

Step-by-step explanation:

let the number be n then half the number is n , so

n + 69 = 74 ( subtract 69 from both sides )

n = 5 ( multiply both sides by 2 to clear the fraction )

n = 10

Thus the number is 10

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

where are the graphs?

step-by-step explanation: