The value of 5 in the ten thousands place is what fraction of the value of 5 in the hundred thousands place?

one-tenth

Step-by-step explanation:

The value of 5 in the ten thousands place (T) is 5 * 10,000 = 50,000

The value of 5 in the hundred thousands place (H) is expressed as:

5 * 100,000 = 500,000

Using the expression:

T = x of H

x is the required fraction

50,000 = x of 500,000

Divide both sides by 500,000

50,000/500,000 = 500,000x/500,000

50,000/500,000 = x

x = 50,000/500,000

x = 5/50

x = 1/10

Hence the value of 5 in the ten thousands place is one tenth the value of 5 in the hundred thousands place

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