The exact value of x is 2.
<h3>What is linear equation?</h3>
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept. This is sometimes referred to as a "linear equation with two variables," where y and x are the variables.
8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
32⁽¹/²⁾ = 2⁵⁽¹/²⁾
32⁽¹/²⁾ = 2⁽⁵/²⁾
8⁽¹/⁶⁾ = 2³⁽¹/⁶⁾
8⁽¹/⁶⁾ = 2⁽¹/²⁾
8⁽¹/⁶⁾ x 2ˣ = 2⁽¹/²⁾ x 2ˣ
= 2⁽¹/²⁾+ˣ
= 2⁽¹/²+ˣ⁾
since 8⁽¹/⁶⁾ x 2ˣ = 32⁽¹/²⁾
= 2⁽⁵/²⁾
2⁽¹/²+ˣ⁾ = 2⁽⁵/²⁾
equate the powers
1/2+ x = 5/2
subtract 1/2 from both sides
x = 5/2 - 1/2
x = (5-1)/2
x = 4/2
x= 2
Therefore, x = 2 is the exact value of x.
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I got -3.........................
-7 - 7p = 3p + 23
Move the -7p over to the right....by adding
-7 = 10p +23
Move the 23 over to the left by subtracting
-30 = 10p
divide by 10
p = -3
15) factor out cos: cos(x)(sin(x)+1)=0
Now this is true when either cos(x)=0 (x=pi/2 and 3pi/2)
Or when sin(x)=-1 (x=3pi/2)
So it's solutions are pi/2 and 3pi/2
1. C
3/8 = 0.375
Hope this helped.
#3 is not a function because there are two answers for one out put
#4 is a function because it is a straight line
