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2 years ago

How to solve it because i have no idea

Mathematics

1 answer:

Angelina_Jolie [31]2 years ago

5 0

First you chang top fractions into decimal add and divide that by 4 which is equal to 0.375 hope it helps.

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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

Let z be the product of any 5 consecutive three digit odd natural numbers. When you multiply

Charra [1.4K]

Answer:

Step-by-step explanation:

If x is the middle number of the 5 consecutive odd numbers, their product is ...

x(x -2)(x +2)(x -4)(x +4) = x(x² -4)(x² -16) = x⁵ -20x³ +64x

The first 3-digit prime is 101, so the product of that with this is ...

101(x⁵ -20x³ +64x) = 101x⁵ -2020x³ +6464x

Since we're only interested in the units digit, we can find the mod 10 value of this to be ...

(x⁵ +4x) mod 10

Possible units digits of x are 1, 3, 5, 7, 9, so possible units digits of this product are ...

x(x⁴ +4) = 1(1⁴ +4) = 5

3(3⁴ +4) = 3(1 +4) = 5 . . . . mod 10

5(5⁴ +4) = 5(5 +4) = 5 . . . . mod 10

7(7⁴ +4) = 7(1 +4) = 5 . . . . mod 10

9(9⁴ +4) = 9(1 +4) = 5 . . . . mod 10

In every case, the units digit of 101z will be 5.

4 0

2 years ago

Heyyyyyy besties plz answer this question correctly and u will get brainliest plz thanks

Levart [38]

Answer:

Nicole is more expansive

Step-by-step explanation:

x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24

6 0

2 years ago

Read 2 more answers

Please help me i’m desperateeee!!!

lara31 [8.8K]

Answer:

option no.D

6y+15x

Step-by-step explanation:

hope it helps

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2 years ago

Find the area<br> top/bottom: 10.8<br> sides: 8.7

mihalych1998 [28]

93.96. You multiply them together to get the answer.

4 0

3 years ago