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Vinvika [58]
2 years ago
15

Condense log₂ 4 + log₂ 5

Mathematics
2 answers:
yawa3891 [41]2 years ago
7 0

Answer:   \log_2(20)

Work Shown:

\log_2(4) + \log_2(5)\\\\\log_2(4*5)\\\\\log_2(20)\\\\

The rule used is \log_{b}(\text{x}) + \log_{b}(\text{y}) = \log_{b}(\text{xy})

liberstina [14]2 years ago
3 0

\large{\textbf{Heya !}}

✏\large\sf{\bigstar Given:-} ✏

  • ㏒ expression = \sf{\log_24+\log_25}

✏\large{\sf{\bigstar To\quad Find:-} ✏

  • Condense the ㏒ into ONE expression - ?

✏\large{\sf{\bigstar Solution\quad steps:-}

<u></u>

<u>`To find what we want we need to apply ㏒ rules </u>

<u />

<u />

<u />

<u />\large{\sf{\longmapsto{log_ba+log_bc=log_b(ac)}

<u>using formula,</u>

<u />

<u />

<u />

<u />\large{\sf{\longmapsto{log_24+log_25=log_2(4\cdot5)}

<u>simplifying,</u>

<u />

<u />\large{\sf{\longmapsto{log_220}

<u>`hope it was helpful ! ~</u>

<u />

<u />

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Helga [31]

This number is written in extended form. Each multiplication determines the place the digit is in the number you have to determine.

4*100 → This indicates that the first digit of the number is in the place of the "hundreds", if you solve the multiplication the result is 400

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After the units you have to put the decimal point and all digits below it will be decimal values.

7*(1/10) → The first digit after the decimal point is in the "tenths" place, you can write it as 0.7

7*(1/100) → This indicates that this digit is in the second place after the decimal dot, in the "hundredths" place, you can write it as 0.07

0*(1/1000)→ The multiplication indicates that the digit is in the third place after the decimal dot, in the "thousands" place, you can write it as 0.000

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400+20+4+0.7+0.07+0.000

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7 0
1 year ago
PLEASE HELP QUICKLY!!! A student's parents offer him one of two options to receive scholarship money for college.
emmainna [20.7K]

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

Step-by-step explanation:

Option A Versus Option B

Option A                                                Option B

Day Amount Deposited                        Day Amount Deposited

0     $40,000.00                                    0       $1.00

1      $40,250.00                                     1        $2.00

2      $40,500.00                                    2       $4.00

...

30   $47,500                                          16      $65,536.00

Answer:

A = $47,500.00, B = $65,536.00; B, because he receives $18,036.00 more

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If f(x) = g(x+1) and g(x) = x^2, find the value of f(3).
Elena-2011 [213]

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