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Gemiola [76]
1 year ago
13

If log7=a and log… help me solve ths math problem on picture

Mathematics
1 answer:
tatiyna1 year ago
3 0

\qquad\qquad\huge\underline{\boxed{\sf Answer☂}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  log_{4}(39.2)

\qquad \sf  \dashrightarrow \:  log_{4}( {2}^{3} \times  {7}^{2}  \times 10 {}^{ - 1}  )

\qquad \sf  \dashrightarrow \: log_{4}( {2}^{3} )  +  log_{4}( {7}^{2} )  +  log_{4}(10 {}^{ - 1} )

\qquad \sf  \dashrightarrow \: log_{ {2}^{2} }( {2}^{3} )  +  log_{ {2}^{2} }( {7}^{2} )  +  log_{ {2}^{2} }(10 {}^{ - 1} )

\qquad \sf  \dashrightarrow \: \frac{3}{2}  log_{2}(2)  +  \frac{2}{2}  log_{2}(7)  -  \frac{1}{2}  log_{2}(10)

\qquad \sf  \dashrightarrow \: \frac{3}{2}  + a -  \frac{b}{2}

That's the required result ~

also you can take it's LCM and write it as :

\qquad \sf  \dashrightarrow \: \dfrac{2a - b + 3}{2}

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Answer: $23

Step-by-step explanation:

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Answer:

Domain: [0, ∞)

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Step-by-step explanation:

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The number of people estimated to vote in an election was 7,000. The actual number of people who voted was 5,600.
Inessa05 [86]

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A, B, and C are collinear points, where B is between A and C. Find x if AB = x, BC = x + 6, and AC = 24. Then find the measures
Alekssandra [29.7K]

Answer:

AB = 9, BC = 15

Step-by-step explanation:

Since, A, B, and C are collinear points, where B is between A and C. i. e. A - B - C

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9

\therefore AC = AB + BC\\\therefore 24 = x + x + 6\\\therefore 24 = 2x + 6\\\therefore 24 - 6 = 2x \\\therefore 18 = 2x \\ \therefore \:  \frac{18}{2}  = x \\  \therefore \: x = 9 \\  \because \: AB  = x \\  \huge \red{ \therefore AB  = 9} \\  \\  \because \:BC = x + 6 \\  \therefore \: BC = 9 + 6 \\ \huge \purple{ \therefore \: BC = 15}

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3 years ago
Write the next three terms of the arithmetic sequence.<br> First term: 2<br> Common difference: 13
IRINA_888 [86]
15, 28, 41.

add the common difference to each consecutive term to find the next term in the sequence.

2+ 13= 15
15+ 13= 28
28+ 13= 41
4 0
3 years ago
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