Answer:
x = 2.81 and 2.096
Step-by-step explanation:
Given the expression
10(2^x) + 7(3^x) = 6^x + 70
This can also be expressed as;
10(2^x) + 7(3^x) = (2*3)^x + 70
10(2^x) + 7(3^x) = 2^x*3^x + 70
Let a = 2^x and b = 3^x
10a + 7b = ab + 70
10a + 7b - ab = 70
10a-ab + 7b - 70 = 0
a(10-b)+7(b-10) = 0
a(10-b)-7(10-b) = 0
a-7 = 0 and 10-b = 0
a = 7 and b = 10
Since a = 2^x
7 = 2^x
log 7 = log2^x
log7 = xlog2
x = log7/log2
x = 2.81
Similarly
10 = 3^x
log 10 = log 3^x
log 10 = xlog3
x = log 10/log 3
x = 1/0.4771
x = 2.096
Hence the values of x that satisfies the equation are 2.81 and 2.096
Solution:
<u>Given:</u>
Supplementary angles are a pair of angles that sum up to 180°.
<u>It should be noted:</u>
- If ∠G and ∠H are a pair of supplementary angles, they both sum up to 180°.
Equation formed: ∠G + ∠H = 180
<u>Substitute the values into the equation.</u>
- ∠G + ∠H = 180
- => 65 + ∠H = 180
<u>Subtract 65 both sides.</u>
- => 65 - 65 + ∠H = 180 - 65
- => ∠H = 180 - 65 = 115°
Answer:
10
Step-by-step explanation:
median is the middle number of the list of numbers.
thereby counting through, the middle number which is the fifth number is 10
