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
Answer:
Tyty :)
Step-by-step explanation:
1. 9 is the mode
2. 17.7 is the mean
3. 25.5 is the median
4. mean > median
5. 28 is the range
Answer:
1/2
Step-by-step explanation:
(y2-y1)/(x2-x1) is the equation for finding slope with two given points
-5-(-2) over 3-9 equals
-3/-6=-1/-2=1/2
Answer: 270 in cubic meters
270^3
Step-by-step explanation:
V=LxWxH
= 2cm x 9cm x 15cm
=270cm^3
