Answer:
<em><u>Option A </u></em>will be your answer
Step-by-step explanation:
<em><u>hope it helps </u></em><em><u>.</u></em><em><u>.</u></em>
<em><u>have</u></em><em><u> </u></em><em><u>a</u></em><em><u> </u></em><em><u>great</u></em><em><u> </u></em><em><u>day</u></em><em><u>!</u></em><em><u>!</u></em>
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:
the answer is 9^8
Step-by-step explanation:
9^3 * 9^5 = 9^ 3 + 5 = 9^8
Answer:
Nearest cent- $1.43
Step-by-step explanation:
14.25x0.10=1.425
Answer:
x=-2
Step-by-step explanation:
1/2(2-6x)-4(x+3/2)=-(x-3)+4
(1-3x)-4x-6=-x+3+4
-7x-5=-x+7
Tranpose
-7x+x=5+7
-6x=12
Divide by -6
x=-2
