-3log5x = -6 would equal
x = 25.
First, use the Power Rule:
(log b x
![^{c}](https://tex.z-dn.net/?f=%20%5E%7Bc%7D%20)
= c log b x
). Your problem should look like -log5 x³ = -6.
Second, multiply both sides by -1. Your problem should look like log5 x³ = 6. We removed the negative signs.
Third, use the Definition of Common Logarithms.
( b
![^{a}](https://tex.z-dn.net/?f=%20%5E%7Ba%7D%20)
= x if and only if logb(x) = a
). Your problem should look like x³ = 5
![^{6}](https://tex.z-dn.net/?f=%20%5E%7B6%7D%20)
.
Fourth, simplify 5
![^{6}](https://tex.z-dn.net/?f=%20%5E%7B6%7D%20)
to 15625. Your problem should look like x³ = 15625.
Fifth, take the cube root of both sides. Your problem should look like x = 3√15625.
Sixth, calculate your problem to get
x = 25 which is the answer.
Answer:
B
Step-by-step explanation:
Answer:
8 dogs
Step-by-step explanation:
He already has $20 and the game costs $60.Each time he walks a dog he earn $5 so he needs to walk 8 more dogs(5×8=40)
Answer:
![x=-\frac{1}{2},\frac{5}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B2%7D%2C%5Cfrac%7B5%7D%7B2%7D)
Step-by-step explanation:
1) Split the second term in
into two terms.
1- Multiply the coefficient of the first term by the constant term.
to -8 and multiply to -−20?
2 and −10
3 - Split -8x as the sum of 2x and -10x.
![4x^2+2x-10x-5](https://tex.z-dn.net/?f=4x%5E2%2B2x-10x-5)
2) Factor out common terms in the first two terms, then in the last two terms.
![2x(2x+1)-5(2x+1)=0](https://tex.z-dn.net/?f=2x%282x%2B1%29-5%282x%2B1%29%3D0)
3) Factor out the common term
.
![(2x+1)(2x-5)=0](https://tex.z-dn.net/?f=%282x%2B1%29%282x-5%29%3D0)
4) Solve for
.
1 - Ask: When will (2x+1)(2x-5) equal zero?
When 2x + 1 = 0 or 2x - 5 = 0
2 - Solve each of the 2 equations above.
![x=-\frac{1}{2},\frac{5}{2}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B1%7D%7B2%7D%2C%5Cfrac%7B5%7D%7B2%7D)