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1 year ago

Solve each logarithmic equation. Round your answer to two decimal places.

Mathematics

2 answers:

olchik [2.2K]1 year ago

6 0

Answer:

x = 2

Step-by-step explanation:

Given equation

$log_416=x$

Use the property of logarithm

$log_ab=c$ ⇒ $b = a^c$

Apply to the given equation

$16 = 4^x$
$4^2=4^x$
$2 = x$
$x=2$

irga5000 [103]1 year ago

3 0

Let's see

$\\ \rm\Rrightarrow log_416=x$

$\\ \rm\Rrightarrow 16=4^x$

$\\ \rm\Rrightarrow 4²=4^x$

$\\ \rm\Rrightarrow x=2$

Done!

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Find the slope of the given line, if it is defined.

il63 [147K]

Answer: A. The slope is $-\dfrac{4}{3}$ .

Step-by-step explanation:

The slope of a line helps to specify the direction of the line.

The slope of a line that passes through (a,b) and (c,d) is given by :-

$\text{Slope}=\dfrac{d-b}{c-a}$

Then the slope of a line passes through origin i.e. (0,0) and (-9,12) is given by :-

$\text{Slope}=\dfrac{12-0}{-9-0}\\\\\Rightarrow\ \text{Slope}=\dfrac{12}{-9}\\\\\Rightarrow\ \text{Slope}=-\dfrac{4}{3}$

Hence, the slope is $-\dfrac{4}{3}$ .

8 0

2 years ago

X^2 + x^2=6^2 what is x

nikitadnepr [17]

Answer:

x = ±3 sqrt(2)

Step-by-step explanation:

x^2 + x^2=6^2

Combine like terms

2x^2 = 6^2

Divide each side by 2

x^2 = * 6^2/2

Take the square root of each side

sqrt(x^2) =± sqrt( 6^2/2)

Remember that sqrt(a/b) = ±sqrt(a ) /sqrt(b)

x = ±sqrt(6^2)/sqrt(2)

x = ±6 /sqrt(2)

We do not leave square roots in the denominator, so we multiply the top and bottom by sqrt(2)

x = ±6 /sqrt(2) * sqrt(2)/ sqrt(2)

x = ±6 *sqrt(2) /( sqrt(2)*sqrt(2))

x = ±6 sqrt(2) /(2)

x = ±3 sqrt(2)

5 0

3 years ago

Read 2 more answers

A point (3, –2) is reflected across the x-axis followed by a reflection across the y-axis. Find the image of the point after the

kotegsom [21]

Answer:

D. (-3, 2)

Step-by-step explanation:

The original point is (3, -2)

The rule for reflecting across the x-axis is (x, y) -> (x, -y)

(3, -2) -> (3, 2)

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

(3, 2) -> (-3, 2)

4 0

2 years ago

Given f (x) = 3x - 5 find f (x - 2)

antiseptic1488 [7]

Answer:

3x-11

Step-by-step explanation:

f (x) = 3x - 5

f(x-2)

Replace x in the function with x-2

f (x-2) = 3(x-2) - 5

=3x-6 -5

=3x-11

3 0

2 years ago

30 subtracted from 4 times a number is greater than the opposite of 10

irakobra [83]

If you're trying to make an inequality, it would be:

30 - 4x > -10.

4 0

2 years ago