1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
777dan777 [17]
3 years ago
6

O log2 3x + log2 3=2

Mathematics
1 answer:
ipn [44]3 years ago
8 0

Answer:

\large\boxed{x=\dfrac{4}{9}}

Step-by-step explanation:

\log_23x+\log_23=2\\\\\bold{DOMAIN}:\\3x>0\to x>0\\\\\text{Use}\ \log_ab+\log_ac=\log_a(bc)\\\\\log_2\bigg[(3x)(3)\bigg]=2\\\\\log_29x=2\qquad\text{use}\ \log_ab=c\iff a^c=b\\\\\log_29x=\log_22^2\\\\\log_29x=\log_24\iff9x=4\qquad\text{divide both sides by 9}\\\\\dfrac{9x}{9}=\dfrac{4}{9}\\\\\boxed{x=\dfrac{4}{9}}\in \bold{DOMAIN}

You might be interested in
Verify that the given value is the solustion of the equation x=6 for 2z-4=8​
klemol [59]

Answer:

8-4=2z.. 2z+4=6 so x=6

6 0
3 years ago
Least to greatest 87% 0.432 2/8
Scorpion4ik [409]

Answer: 2/8, 0.432, 87%

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The ratio of the side adjacent am acute angle and the hypotenuse. Adjacent/hypotenuse
diamong [38]

Answer:  The answer is cosine of that acute angle.


Step-by-step explanation:  We are to find the ratio of the adjacent side of an acute angle to the hypotenuse.

In the attached figure, we draw a right-angled triangle ABC, where ∠ABC is a right angle, and ∠ACB is an acute angle.

Now, side adjacent to ∠ACB is BC, which is the base with respect to this particular angle, and AC is the hypotenuse.

Now, the ratio is given by

\dfrac{\textup{adjacent side}}{\textup{hypotenuse}}=\dfrac{BC}{AC}=\dfrac{\textup{base}}{\textup{hypotenuse}}=\cos\textup{ of angle }ACB.

Thus, the ratio is cosine of the acute angle.

7 0
3 years ago
Multiply. Write the product as one power. a to the 8th power x a to the 5th power.
Hatshy [7]
\bf a^8\cdot a^5\impliedby \textit{same base \underline{a}, add the exponents}\implies a^{8+5}\implies a^{13}
6 0
3 years ago
Plss help me question below
Kay [80]

Answer:

your right its 3/8

another one is 6/16

Step-by-step explanation:

eyesight

4 0
2 years ago
Read 2 more answers
Other questions:
  • Two angles are supplementary. One angle measures 26o more than the other. Find the measure of the two angles.
    9·1 answer
  • Simplify completely ((x2-4x+4)/(x2+10x+25)) x ((x+5)/(x2+3x-10)) ...?
    12·1 answer
  • Ryan is making small meat loaves. Eaclh small meat loaf uses 3/4 of meat. How much meat does Ryan need to make 8 small meat loav
    7·1 answer
  • What does this mean? (Picture)
    7·1 answer
  • Every 14 days, Debbie’s dog eats 415 pounds of dog food. If Debbie’s dog eats the same amount of food each day, how many pounds
    6·2 answers
  • penny reads 10 pages in one fourth 1/4 hour. What is the unit rate for pages per​ hour? For hours per​ page?
    10·2 answers
  • Write the equation of a line that is parallel to y = 1/2x - 4 and that passes through the point (9, -6)
    12·1 answer
  • The x-intercepts of the gravy of f (x)= x (x+1)(x-5)(x-7) are
    5·1 answer
  • Please help! I have no idea how to do this.
    6·1 answer
  • What is the equation of the line graphed below?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!