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Brut [27]
3 years ago
11

What is the solution of log 2 (3x-7) = 3

Mathematics
1 answer:
wel3 years ago
7 0

\bf \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_2(3x-7)=3\implies 2^{\log_2(3x-7)}=2^3\implies 3x-7=2^3\implies 3x-7=8 \\\\\\ 3x=15\implies x=\cfrac{15}{3}\implies x=5

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I’m pretty sure it’s b tell me if I’m wrong tho~~
6 0
3 years ago
Can someone please explain this to me
Gre4nikov [31]

What's happening is that every subtraction can be written as "addition of the opposite."

18-5 = 18 + (-5)

One reason this is done in the work you showed is that they're trying to show why you distribute the negative and the 1 into the parentheses, why you multiply everything in the parentheses by "-1" and not just 1.

The other reason is to later to be able to move the individual terms around, so you'll be able to combine like terms.

When you move terms around, the sign has to stay attached to the term, so writing all the subtractions as addition helps keep the sign attached.

8 0
3 years ago
The 1 in the hundred thousands place is the value of the middle 1 911,147,837
andrew-mc [135]
<span>The 1 in the hundred thousands place is the value of the middle of 1 and 4.</span>
4 0
3 years ago
9(42) - 9(4) = 9(30) + 9 (___)
OverLord2011 [107]

Answer:

8

Step-by-step explanation:

378-36-270=9x

72=9x

72÷9=9x÷9

8=x

X=8

5 0
2 years ago
What is the product? 8(–1) A. –1.4 B. –8 C. 8 D. 11.2
enot [183]
B: -8
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7 0
3 years ago
Read 2 more answers
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