X/5 + 23 = 12

Mathematics

1 answer:

ivann1987 [24]3 years ago

4 0

Answer:

X = -55

Step-by-step explanation:

X/5 = 12 - 23

X/5 = -11

X/5 • 5 = -11 • 5

X = -55

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Which expression is equivalent to log Subscript w Baseline StartFraction (x squared minus 6) Superscript 4 Baseline Over RootInd

lora16 [44]

The logarithmic expression $\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$ can be expressed as $\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)$ .

Given to us

$\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$

<h3>Which expression is equivalent to $\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$ ?</h3>

To solve the problem we will use the basic logarithmic properties,

$\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$

Using the logarithmic property $\rm log_a\dfrac{x}{y} = log_ax-log_ay$ ,

$=\rm log_w{(x^2-6)^4} - log_w{\sqrt[3]{x^2-8}}$

Using the exponential property $\sqrt[m]{a^n} = a^{\frac{n}{m}}$ ,

$=\rm log_w{(x^2-6)^4} - log_w(x^2-8)^{\dfrac{1}{3}}$

Using the logarithmic property $\rm log_aB^x = xlog_aB$ ,

$=\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)$

Hence, the logarithmic expression $\rm log_w\dfrac{(x^2-6)^4}{\sqrt[3]{x^2-8}}$ can be expressed as $\rm 4log_w{(x^2-6)} - {\dfrac{1}{3}}log_w(x^2-8)$ .

Learn more about Logarithmic Expression:

brainly.com/question/7302008

5 0

3 years ago

A 100-gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function

kykrilka [37]

Answer:

- Stretching the parent function $f(x) =\frac{1}{x}$ vertically .

- Shifting the parent function $f(x) =\frac{1}{x}$ 5 units right.

Step-by-step explanation:

<h3>The complete exercise is: " A 100 gallon fish tank fills at a rate of x gallons per minute. The tank has already been filling for 5 minutes. The function $f(x) = \frac{100}{x -5}$ represents the remaining time in minutes needed to fill the tank. How is the graph of the parent function $f(x) =\frac{1}{x}$ transformed to create the graph of $f(x) = \frac{100}{x -5}$ ?"</h3><h3 />

Below are some transformations for a function :

1. If $f(x)+k$ , the function is shifted "k" units up.