Answer:
Option C.
Step-by-step explanation:
Note: It is given question and option "=" sing is missing. On some places it should be "=" instead of "=".
Consider the given equation is
Using properties of \logarithm we get
The solution is x=5.
To check the solution, substitute x=5 in the given equation.
Therefore, x-5 is a true solution because .
Answer:
see explanation
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan A = =
=
, then
∠ A = (
) ≈ 41° ( to the nearest degree )
The sum of the angles in the triangle = 180° , then
∠ B + 41° + 90° = 180°
∠ B + 131° = 180° ( subtract 131° from both sides )
∠ B = 49°
Using Pythagoras' identity in the right triangle
AB² = BC² + AC² = 7² + 8² = 49 + 64 = 113 ( take square root of both sides )
AB = ≈ 10.6 ( to the nearest tenth )