Cos(7)=5.1/x
X=5.1/cos(7)
X=5.1/0.99
X=5.15
The length is 5.15 ft
(27⁽⁻ˣ⁺³⁾) (9⁽ˣ⁺¹⁾) = 81
Instead of using logarithmic to find x, Notice that 27, 9 and 81 are the perfect powers of 3. Since 27 = 3³, 9 = 3², and 81 = 3⁴, so
(3³⁽⁻ˣ⁺³⁾) (3²⁽ˣ⁺¹⁾) = 3⁴
3³⁽⁻ˣ⁺³⁾⁺²⁽ˣ⁺¹⁾ = 3⁴
If the bases are the same, then cancel it and bring the power as a new base.
3(-x+3) + 2(x+1) = 4
-3x + 9 + 2x + 2 = 4
-x + 11 = 4
-x = 4 - 11
-x = -7
x = 7
52.8 is the answer.
Hope this helps!
It is 5.05.
Hoped this helped.
~Bob Ross®
