You have to distribute the exponent of 4 to the whole equation.
so step one is to distribute to the 3
3^4= 81
then we have to distribute to the x
x^4
then to the 2
2^4= 16
81 * x^4 * 16
* = multiplication sign
Answer:
<em>- 1.568</em>
Step-by-step explanation:
Let's assume that the base of the given logarithm is 10.
log m = 0.345 ⇒
= m
log n = 1.223 ⇒
= n
mn =
×
=
=
log
= - 1.568 × log 10 = <em>- 1.568</em>
X= number of nickels
3x= number of dimes
Each nickel is $0.05 and each dime is $0.10. Multiply each coins monetary value by the quantity of each. Add them equal to the total $9.10.
(0.05 * x) + (0.10 * 3x)= 9.10
multiply inside parentheses
0.05x + 0.3x= 9.10
add
0.35x= 9.10
divide both sides by 0.35x
x= 26 nickels
DIMES
3x= 3(26)= 78 dimes
CHECK:
(26 nickels * 0.05) + (78 dimes * 0.10)= 9.10
$1.30 + $7.80= $9.10
$9.10= $9.10
ANSWER: There are 26 nickels and 78 dimes.
Hope this helps! :)