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:
x=i or no solution exists depending on the user's grade
Step-by-step explanation:
f(x) = 2x^2-5
-7 = 2x^2-5
-2 = 2x^2, x^2=-1, x=i
Answer:
-15
Step-by-step explanation:
() means to multiply
So, -3(5) = -3 x 5 = -15
It’s 3 less then measure of its complement 6°
<h2><u><em>
Answer: 1017.8760</em></u></h2><h2><u><em>
Step-by-step explanation:</em></u></h2><h2><u><em>
area A=πr2
</em></u></h2><h2><u><em>
A=π×182
</em></u></h2><h2><u><em>
A=324π
</em></u></h2><h2><u><em>
A=1017.87602
</em></u></h2><h2><u><em>
</em></u></h2><h2><u><em>
also, circumferenceC=2πr</em></u></h2><h2><u><em>
and, diameterd=2r</em></u></h2>
<u><em></em></u>
