Answer:
Hi! The correct answer is 7x=-3!
Step-by-step explanation:
<em><u>~Write in standard form~</u></em>
25 x² - 10 x = 0
5 x ( 5 x - 2 ) = 0
x = 0 and
5 x - 2 = 0
5 x = 2
x = 2: 5
x = 2/5
Answer: B ) x = 0 and x = 2/5
Useful Log Rules:
- log(A*B) = log(A)+log(B) .......... log rule 1
- log(A/B) = log(A) - log(B) .......... log rule 2
- log(A^B) = B*log(A) ................... log rule 3
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Part (a)
All logs shown below are base 3.
log(500) = log(5*100)
log(500) = log(5*10^2)
log(500) = log(5)+log(10^2) .... use log rule 1
log(500) = log(5) + 2*log(10) .... use log rule 3
log(500) = 1.4650 + 2*2.096 ....... substitution
log(500) = 5.657
<h3>Answer: 5.657</h3>
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Part (b)
All logs shown below are base 3.
log(2) = log(10/5)
log(2) = log(10) - log(5) .... use log rule 2
log(2) = 2.096 - 1.4650 ....... substitution
log(2) = 0.631
<h3>Answer: 0.631</h3>
Answer:
4,782,969
Step-by-step explanation:
9^7
Written in expanded form = 9 times 9 times 9 times 9 times 9 times 9 times 9
= 9 × 9 × 9 × 9 × 9 × 9 × 9
= 4,782,969
9^7 means multiplying 9 in 7 places
9^7 = 4,782,969
The standard form of a line:
.
The point-slope form: 
We have the point (3, -1) and the slope m = -1. Substitute:

<em>add x to both sides</em>
<em>subtract 1 from both sides</em>
