<em>Solve: </em>

Start by isolating the x-variable as much as you can:


Now, if we take the log with base 13 of both sides, then the left hand side will cancel out really easily. This is based on the concept of inverse operations. For example, when we take the square of a square root, we get our initial value. This is because the two operations are inverses of each other, and basically undoes each other.
Logarithms and exponentials are the inverse operations of each other. If we want to extrapolate the power of an exponential, we take the logarithmic function of it, and vice versa.
In this case, we are saying what power of '13' will produce us with 13ˣ, and the only answer will be x itself.

Answer: y ≈ 10.6 cm
Step-by-step explanation:
The cosine function relates the adjacent side to the hypotenuse in a right triangle. The side adjacent to the 20° angle is 10 cm.
cos(20°) = (10 cm)/y
y = (10 cm)/cos(20°)
y ≈ 10.6 cm
Answer:
2
Step-by-step explanation:
2×4+5-3=
8+5-3=10
10/5=2
Answer:
20x + 18
Step-by-step explanation:
We need to use the distributive property, where we essentially take the sum of the product of the outside number with each of the inside terms.
In 7(4x - 2), 7 is the outside number and 4x and -2 are the inside numbers, so:
7(4x - 2) = 7 * 4x + 7 * (-2) = 28x - 14
In 4(2x - 8), 4 is the outside number and 2x and -8 are the inside numbers, so:
4(2x - 8) = 4 * 2x + 4 * (-8) = 8x - 32
Now, we have:
28x - 14 - (8x - 32) = 28x - 14 - 8x + 32 = 20x + 18
The answer is 20x + 18.
Answer:
x = 1
Step-by-step explanation:
Add 4 from both sides which you add to the zero. Then, combine like terms, 5x - 1x which is 4x. Divide 4 from both sides and it equals 1.