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Brut [27]
3 years ago
9

4" alt=" log_{3}(4x + 1) = 4" align="absmiddle" class="latex-formula">
solving logarithmic equations ​
Mathematics
1 answer:
const2013 [10]3 years ago
5 0

Answer:

x=20

Step-by-step explanation:

log3(4x+1) = 4

Raise each side to the base of 3

3^log3(4x+1) = 3^4

4x+1 = 3^4

4x+1 = 81

Subtract 1 from each side

4x+1-1 = 81-1

4x= 80

Divide by 4

4x/4 = 80/4

x = 20

You might be interested in
Find the radius of a circle that has a circumference of 1671.
son4ous [18]

Answer:

r=8

Step-by-step explanation:

Given formula:

r = C / 2π

It is given that C = 16π

hence

r = 16π / 2π = 8

8 0
3 years ago
Which of these problem types cannot be solved using the law of sines
timama [110]

Answer: The correct option are B, C and D.

Explanation:

The law of sine states that,

\frac{\sin A}{a} =\frac{\sin B}{b}=\frac{\sin C}{c}

Where A, B, C are interior angles of the triangle and a, b, c are sides opposite sides of these angles respectively as shown in below figure. Only AAS or SSA types problems can be solved by using Law of sine.

Since we need the combination of two sides and one angle or two angles and one side.

In option A, the two consecutive angles are known and a side which makes the second angle with base side is known, therefore the first angle is opposite to the given side, so the law of sine can be used for AAS problems.

Therefore, option A is incorrect.

In option B a side is known and two inclined angle on that line are known. But to use Law of sine we want the line and angle which in not inclined on that line, therefore the ASA problem can not be solved by Law of sine and the option B is correct.

In option C two sides and their inclined angle is known. But to use Law of sine we want the side and angle which in not inclined on that line, therefore the SAS problem can not be solved by Law of sine and the option C is correct.

In  option D three sides are given but any angle is not given, therefore the SSS problem can not be solved by Law of sine and the option D is correct.

4 0
3 years ago
Help test due tonight!! *no links please *
Stella [2.4K]

Answer:

Add one to all the x and subtract 4 to all the y values

Step-by-step explanation:

(1,4)= (2,0)

(-4,2)=(-3,-2)

(4,-3)=(5,-7)

8 0
3 years ago
Evaluate the expression when c=3 and y=-4. 8c-y
Savatey [412]

Answer:

28

Step-by-step explanation:

8c - y

8( 3) - (- 4)

24 + 4

28

3 0
3 years ago
The box plots below show the lifespan, in months, of laptop batteries manufactured by four companies: box plot labeled Company A
denis-greek [22]
I think the answer would be D. Hope this helps!
7 0
3 years ago
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