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jek_recluse [69]
2 years ago
12

The two expressions below have the same value when rounded to the nearest hundredth. Log Subscript 5 Baseline b. Log Subscript 9

Baseline 48 What is the approximate value of log b to the nearest hundredth? 0. 93 1. 23 9. 16 65. 53.
Mathematics
1 answer:
Molodets [167]2 years ago
6 0

The approximate value of log b to the nearest hundredth using the logarithm property is 1.23. The correct option is B.

<h3>What is a logarithm?</h3>

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The two expressions below have the same value when rounded to the nearest hundredth.

\rm  Log_ 5  b \ \ and \ \  Log _ 9  48

We know that the formula

\rm log_ab = \dfrac{log\ b}{log\ a}

Then we have

\rm  log_ 5\  b =  log _ 9  48\\\\\\ \dfrac{log \ b}{log\ 5} = \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = log \ 5 *  \dfrac{log\ 48}{log \ 9}\\\\\\log \ b = 1.2315

Thus, the value of log b is 1.23.

More about the logarithm link is given below.

brainly.com/question/7302008

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The expression \frac{5}{9} ÷ 10 can be used to find the amount of water in each cup.

Step-by-step explanation:

Step 1; Felicia brought \frac{5}{9} of a gallon of water to give to the track team. So the total amount of water she brought is  \frac{5}{9} gallons. So the options 10 ×  \frac{5}{9} and         \frac{5}{9} × 10 cannot be the answers as they are more than the total amount of water.

Step 2; So to find the amount of water in each cup, we divide the total amount of water by the number of cups. The number of cups is 10. So the water in each cup is  \frac{5}{9} ÷ 10.

So the third option can be used to calculate the water she poured into a cup.

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Solve the equations for the given variable. Then place the equations in the table under the correct solution
vekshin1

Placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

-\frac{3}{5} +x = \frac{12}{5}                          \frac{x}{3} =9

\frac{x}{4} =\frac{6}{8}                                    

x -5 = -2            

<h3>Solving Linear Equations </h3>

From the question, we are to place the equations under the correct solution

To do this, we will solve the equations one after the other

  • -14x = -42

x = -42/-14

x = 3

  • -5 + x = -9

x = -9 + 5

x = -4

∴ x ≠ 3

  • -\frac{3}{5} +x = \frac{12}{5}

x = \frac{12}{5} +\frac{3}{5}

x = \frac{12+3}{5}

x = \frac{15}{5}

x = 3

  • \frac{x}{4} =\frac{6}{8}

x=\frac{6\times 4}{8}

x=\frac{24}{8}

x = 3

  • \frac{x}{3} =9

x = 3 × 9

x = 27

∴ x ≠ 3

  • x -5 = -2

x = -2 + 5

x = 3

Hence, placing the equations under the correct solution, we get

x = 3                                      x ≠ 3

-14x = -42                              -5 + x = -9

-\frac{3}{5} +x = \frac{12}{5}                          \frac{x}{3} =9

\frac{x}{4} =\frac{6}{8}                                    

x -5 = -2            

Learn more on Solving linear equations here: brainly.com/question/13204213

#SPJ1                  

5 0
2 years ago
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