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2 years ago

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

Mathematics

2 answers:

olchik [2.2K]2 years 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]2 years 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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The algebraic expression that represents 2 less than 3 of n is:

Marysya12 [62]

Answer:

Option A. 3(n-2)

Step-by-step explanation:

"2 less" - "subtract 2"

Then 3 of n - 3n

Hope helps -

7 0

2 years ago

Read 2 more answers

Kyle is a basketball player. His bottle was full at the beginning of the game. At the end of the first quarter, he drank 5/7 of

gizmo_the_mogwai [7]

Answer:

1 4/35

Step-by-step explanation:

All I did was do 5/7 + 2/5.

5 0

3 years ago

In QRS m Q = 80 degrees m R = 65 degrees m S = 35 degrees which side of the QRS is the longest

lutik1710 [3]

Answer: RS

Step-by-step explanation:

A greater angle of a triangle is opposite a greater side. If angle Q is greater than angle R, then side RS is greater than side QS.

Because Q is the larger angle in the triangle, Then RS is the longest side.

7 0

3 years ago

Find the radius of a circle using the Pythagorean theorem, given that the center is at (1, 5) and the point (5, 1) lies on the c

Assoli18 [71]

Given :

Center of circle, C = ( 1 , 5 )

Point on circle, P = ( 5 , 1 )

To Find :

The radius of a circle.

Solution :

We know, radius of circle is the distance between center and point of circle.

Distance between two points A(p,q) and B(r,s) is given by :

$D = \sqrt{(p-r)^2+(q-s)^2}$

So, distance between the points (1, 5) and (5, 1) is :

$D = \sqrt{(1-5)^2+(5-1)^2}\\\\D = 5.66 \ units$

Therefore, radius of circle is 5.66 units.

Hence, this is the required solution.

4 0

3 years ago

1x10+3×1+4×(1over1000)

Marina86 [1]

Answer:

14 and 4/1000 or 14004/1000

Step-by-step explanation:

1*10+3*1+4*(1/1000)

First i like to separate the equation by PEMDAS or order of operations. First is parentheses, which is the fraction. Then is exponents. There is none. Then multiplication and division so u solve 1*10, 3*1 and 4*1/1000.

This is the updated equation: 10+4+(4/1000)

Next you do subtraction and addition. The order does not matter if there's only addition. If there is subtraction u solve by the order of the equation. SO in this step we solve 10+4+(4/1000)

Here is the updated version: 14+(4/1000)

Then u add that which is 14 and 4/1000 or you can do 14004/1000

6 0

3 years ago