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ss7ja [257]
3 years ago
6

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Mathematics
2 answers:
aliya0001 [1]3 years ago
6 0

the answer is option 3: x^2-6x-16=0

riadik2000 [5.3K]3 years ago
3 0

If the question is

log_2(x)+log_2(x-6)=4

which can be simplified to

log_2(x(x-6))=4

By the definition of log, log_a(x)=y means a^y=x

=>

2^4=x(x-6)=x^2-6x

Simplify and solve for x

x^2-6x-16=0

(x+2)(x-8)=0

x=-2 or x=8

Since no answer choices are given, one of the equations in the above solution should appear in the answer choices.

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12 is what percentage of 80
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Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Step-by-step explanation:

_______________________________

12 = (n/100) * 80 ;

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Multiply each side of the equation by "10" ; to get rid of the "decimal" ;

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_______________________________

8n = 120 ;

Divide each side of the equation by "8" ;

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_______________________________

to get:

_______________________________

n = 15 .

_______________________________

Answer:  " 15 % " .

_______________________________

     →   " 12 is <u>  15% </u> of 80 " .

_______________________________

Hope this helps!

Best wishes!

_______________________________

4 0
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