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3 years ago

Evaluate the function h(x) = x-5 h(-10)

Mathematics

1 answer:

LenaWriter [7]3 years ago

4 0

i think this is the answer x+50h i think

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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:

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

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

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3 years ago

What is the value for y? Explain please

Reil [10]

I hope this helps you

5 0

3 years ago

At The Last Book Store, 4 books cost $28. How many books could you buy for $49?

Mila [183]

7

You divide 28 by 4 and get 7. Then you divide 49 by whatever you get.

3 0

3 years ago

Free Cookie or brainliest

Bess [88]

Answer: point C

Step-by-step explanation: the square root of 68 is 8.246and it keeps going with other digits

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3 years ago

Read 2 more answers

9x^2 - 8x - 1 = 0<br> What are the x intercepts?

sasho [114]

9x^2 - 8x - 1 = 0

(9x + 1(x - 1) = 0

x = -1/9 , 1

x intercepts are -1/9 and 1.

4 0

2 years ago