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2 years ago

What is the first step to solving this equation?

Mathematics

1 answer:

Lelechka [254]2 years ago

7 0

Answer:

A. Subtract 6 to both sides.

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

$log_b(x)=\frac{log_a(x)}{log_a(b)}$

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

6 0

2 years ago

At a football game, 12 people are wearing red jerseys and 15 people are wearing white jerseys. Write the ratio of red to white j

Anastasy [175]

Answer:

12:15 (simplified: 4:5)

12/15 (simplified: 4/5)

12 to 15 (simplified: 4 to 5)

Hope this helped!

6 0

1 year ago

Read 2 more answers

Square root of 45 with radicals

slavikrds [6]

√(45)
√(9×5)
√(3×3×5)
3√5

6 0

2 years ago

Read 2 more answers

There were 8 red cars and 12 blue cars in the parking lot what is the ratio of the number of red cars to number of blue cars

salantis [7]

Answer:

2 : 3

Step-by-step explanation:

<em>Hello fellow human!</em>

red : blue - 8 : 12

The ratio is divisible by 4 - (8/4) = 2 ; (12/4) = 3

Hence, 2 : 3

8 0

1 year ago

ASAP!!!! Calculate the finance charge and new balance using the previous balance method.

goldenfox [79]

Answer:

Previous balance = $199.19

Annual rate =14%

finance charge=14%of $198.19=$27.7466

New balance =$199.19+$27.7466-$97.50-$75.75=$53.6866

3 0

2 years ago