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2 years ago

Log_8(5x+4)=3x-4

Mathematics

1 answer:

Novosadov [1.4K]2 years ago

6 0

The equivalent equation of the logarithmic equation is $5x + 4 = 8^{3x - 4}$

<h3>How to rewrite the equation?</h3>

The logarithmic equation is given as

Log_8(5x+4)=3x-4

Rewrite properly as:

$\log_8(5x+4)=3x-4$

Apply the following law of logarithm

$\log_a(b) = x \to a = b^x$

So, we have:

$5x + 4 = 8^{3x - 4}$

Hence, the equivalent equation of the logarithmic equation is $5x + 4 = 8^{3x - 4}$

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3 years ago

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sergejj [24]

Answer:

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3 years ago

Can anybody help me please

GREYUIT [131]

Question 7: Option 1: x = 33.5°

Question 8: Option 3: x = 14.0°

Step-by-step explanation:

<u>Question 7:</u>

In the given figure, the value of perpendicular and hypotenuse is given, so we have to use any trigonometric ratio to find the value of angle as the given triangle is a right-angled triangle

So,

Perpendicular = P = 32

Hypotenuse = H = 58

So,

$sin\ x = \frac{P}{H}\\sin\ x = \frac{32}{58}\\sin\ x = 0.5517\\x = sin^{-1} ( 0.5517)\\x =33.48$

Rounding off to nearest tenth

x = 33.5°

<u>Question 8:</u>

In the given figure, the value of Base and Perpendicular is given, we will use tangent trigonometric ratio to find the value of x

So,

Perpendicular = P = 5

Base = B = 20

So,

$tan\ x = \frac{P}{B}\\tan\ x = \frac{5}{20}\\tan\ x = 0.25\\x = tan^{-1} (0.25)\\x = 14.036$

Rounding off to nearest tenth

x = 14.0°

Keywords: Right-angled triangle, trigonometric ratios

Learn more about trigonometric ratios at:

#LearnwithBrainly

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3 years ago

A bag contains 5 white, 3 black, and 2 green balls. Balls are picked at random.

Soloha48 [4]

Answer:

look down there

Step-by-step explanation:

First ball:

Probability of drawing a white ball is 5/8

Probability of drawing a black ball is 3/8

Second ball:

This depends on the first ball drawn, lets say you drew a white ball initially, 4 white balls are left out of 7 balls in total. The probability of a white ball in the second pick is 4/7.

Total probability of drawing two white balls is 5/8*4/7 (since they are independent events).

If you picked a black ball initially, picking another black ball would have a probability of 2/7, on similar grounds , total prob for 2 blacks would be 3/8*2/7.

The probability that you pick 2 balls of same color is (5/14 + 3/28) = 13/28. (Since they are mutually exclusive events)

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4 years ago

What is an angle coterminal to 5pi/7

grigory [225]

(5*180)/7=900/7=128.5714285714286

The angle is approximately 129 degrees.
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4 years ago