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2 years ago

WHAT IS THE ANSWER 9x-13 for x=7

Mathematics

1 answer:

PtichkaEL [24]2 years ago

3 0

Answer:50

Step-by-step explanation:

Plug 7 in for x

Multiply 9 by 7

Solve like normal equation

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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

Michelle drew a scale drawing of a swimming pool she used the scale 14 millimeters 5 meters in the drawing the pool is 42 millim

Lera25 [3.4K]

EXPLANATION

Let's see the facts:

The scale is---> 14 milimeters ----> 5 meters

Width = 42 milimeters

Applying the unitary method, the actual width of the pool is:

$Actual_{}width=42\text{ mm}\cdot\frac{5m}{14\text{ mm}}=15m$

The width of the pool is 15m

6 0

5 months ago

All rational numbers are also? A) real numbers b)natural numbers c)integers d)whole number

Alex Ar [27]

Pretty sure it's C)intergers

8 0

2 years ago

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What is 173.22 divided by 4?

Kisachek [45]

43.305 or in Mixed Number is 43 61/200 or in improper Fraction is 8661/200

3 0

3 years ago

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1. What is the greatest multiple of 7 that is less than 60?

hodyreva [135]

the first one is 56

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2 years ago

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