Ask question

Ask question

All categories

3 years ago

15

Given the exponential equation 4x = 64, what is the logarithmic form of the equation in base 10?

2 answers:

krok68 [10]3 years ago

8 0

$4^{x} = 64$

By taking <span>logarithmic of base 10

∴ </span><span> $log 4^{x} = log 64$

∴ x log 4 = log 64

∴ $x = \frac{log \ 64}{log \ 4}$

∴ The correct choice is
</span><span>x = log base 10 of 64, all over log base 10 of 4</span>

Karolina [17]3 years ago

6 0

The correct answer is <span><u>x = log base 10 of 64, all over log base 10 of 4.</u></span>

You might be interested in

phil has 3 times as many rocks as peter. togethe they have 48 rocks. how many mire rocks does phil have than phil

pav-90 [236]

Phil has 144 more rocks

8 0

3 years ago

Read 2 more answers

Write this ratio as a fraction in simplest form without any units. 56 hours to 2 days

Svetllana [295]

Answer:

28

Step-by-step explanation:

56/2 = 38

8 0

3 years ago

The third term in an arithmetic sequence is 10 and the fifth term is 26.If the first term is a1,which is an equation for the nth

dexar [7]

Just plug in 3 for n and then 5 for n to see if an turns out to be 10 and 26.

n=3:
A) an = 8*3+10 = 34
B) an = 8*3 - 14 = 10 OK
C) an = 16*3+10 = 58
D) an = 16*3 - 38 = 10 OK

n=5:
B) an = 8*5-14 = 26 OK
D) an = 16*5 - 38 = 42

So the answer is B

5 0

3 years ago

Determine the 1-unit growth factor for f f. [We encourage you to write the expression that represents the value of the growth fa

timofeeve [1]

Answer: The complete question is found in the attachment

Step-by-step explanation:

a) To determine the 1-unit growth factor for <em>f</em>

= 2.1/1.75 = 1.2

b) To determine the 1-unit percent change for <em>f</em>

<em>=100 x 1-1.2/1 = 0.2 x 100= 20%</em>

<em>c) to determine the initial value of f</em>

<em>f(x)= abˣ , b =1.2 a=initial value</em>

<em>at (-1,2.1)</em>

<em>2.1= (1.2)⁻¹ x a</em>

<em>a = 2.1/(1.2)⁻¹ </em>

<em>a = 2.1 x 1.2 = 2.52</em>

<em />

<em>d) to determine the function formula for f</em>

<em>f(x)= abˣ = 2.52(1.2)ˣ</em>

6 0

3 years ago

Samples of emissions from three suppliers are classified for conformance to air-quality specifications. The results from 100 sam

Vlad [161]

Answer

$P(A) = 0.30$

$P(B) = 0.77$

$P(A\ n\ B) = 0.22$

$P(A\ u\ B) = 0.85$

Explanation:

Given

See attachment for proper data presentation

$n = 100$ --- Sample

A = Supplier 1

B = Conforms to specification

Solving (a): P(A)

Here, we only consider data in sample 1 row.

Here:

$Yes = 22$ and $No = 8$

$n(A) = Yes + No$

$n(A) = 22 + 8$

$n(A) = 30$

P(A) is then calculated as:

$P(A) = \frac{n(A)}{Sample}$

$P(A) = \frac{30}{100}$

$P(A) = 0.30$

Solving (b): P(B)

We only consider data in the Yes column.

Here:

$(1) = 22$ $(2) = 25$ and $(3) = 30$

$n(B) = (1) + (2) + (3)$

$n(B) = 22 + 25 + 30$

$n(B) = 77$

P(B) is then calculated as:

$P(B) = \frac{n(B)}{Sample}$

$P(B) = \frac{77}{100}$

$P(B) = 0.77$

Solving (c): P(A n B)

Here, we only consider the similar cell in the yes column and sample 1 row.

i.e. [Supplier 1][Yes]

This is represented as: n(A n B)

$n(A\ n\ B) = 22$

The probability is then calculated as:

$P(A\ n\ B) = \frac{n(A\ n\ B)}{Sample}$

$P(A\ n\ B) = \frac{22}{100}$

$P(A\ n\ B) = 0.22$

Solving (d): P(A u B)

This is calculated as:

$P(A\ u\ B) = P(A) + P(B) - P(A\ n\ B)$

This gives:

$P(A\ u\ B) = \frac{30}{100} + \frac{77}{100} - \frac{22}{100}$

Take LCM

$P(A\ u\ B) = \frac{30+77-22}{100}$

$P(A\ u\ B) = \frac{85}{100}$

$P(A\ u\ B) = 0.85$

7 0

3 years ago