All categories

3 years ago

3. Solve 2log4y - log4 (5y - 12) = 1/2

Mathematics

1 answer:

Ilia_Sergeevich [38]3 years ago

4 0

Answer:

y = 4 or y = 6

Step-by-step explanation:

2log4y - log4 (5y - 12) = 1/2

2log_4(y) - log_4(5y-12) = log_4(2) apply law of logarithms

log_4(y^2) + log_4(1/(5y-12)) = log_4(/2) apply law of logarithms

log_4(y^2/(5y-12)) = log_4(2) remove logarithm

y^2/(5y-12) = 2 cross multiply

y^2 = 10y-24 rearrange and factor

y^2 - 10y + 24 = 0

(y-4)(y-6) = 0

y= 4 or y=6

You might be interested in

#3 AB and AD are tangent to the circle centered at point C. Find the value of x. *

dezoksy [38]

Answer:

x=4

Step-by-step explanation:

tangent lines from the same point to a circle are congruent in length, so we can say that

5x+8 = 8x-4

5x -5x +8 = 8x - 5x -4

8 = 3x - 4

8+4 = 3x -4 + 4

3x = 12

3x/3 = 12/3

x=4

8 0

3 years ago

Jackie's restaurant bill was $23. 50, and the tax was 8%. Jackie left a 20% tip on the post-tax bill. How much was the tip Jacki

Ksju [112]

well, the subtotal or pre-tax bill is $23.50, now let's add the 8% tax and

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8\% of 23.50}}{\left( \cfrac{8}{100} \right)23.50}\implies 1.88$

so the post-tax bill is 23.50 + 1.88 = 25.38, and Jackie's tip is 20% of that

$\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{20\% of 25.38}}{\left( \cfrac{20}{100} \right)25.38}\implies 5.076\qquad \approx 5.08$

6 0

2 years ago

How do you graph the equation Y = 4x + 2 and 4x - 3y = 12?

Pachacha [2.7K]

Answer:look below

Step-by-step explanation:

To graph y= 4x +2 plot the point (0,2) on the graph because the y-intercept is 2 then use the slope: 4 to find another point. Another point would be (1,6).

6 0

3 years ago

WILL GIVE BRAINLIEST ANSWER

Ad libitum [116K]

2² + 4² ÷ 2²

4 + 16 ÷ 4

4 + 4

8

7 0

3 years ago

Read 2 more answers

2x-y=5 2x-2y=4 <img src="https://tex.z-dn.net/?f=2%20%5Ctimes%20%20-%20y%20%3D%205%20%5C%5C%202%20%5Ctimes%20%20-%202y%20%

d1i1m1o1n [39]

$\left\{\begin{array}{ccc}2x-y=5\\2x-2y=4&|\cdot(-1)\end{array}\right\\\underline{-\left\{\begin{array}{ccc}2x-y=5\\-2x+2y=-4\end{array}\right}\ \ \ \ |add\ both\ sides\\.\ \ \ \ \ \ \ \ y=1\\\\substitute\ the\ value\ of\ y\ to\ first\ equation\\\\2x-1=5\ \ \ |+1\\2x=6\ \ \ |:2\\x=3\\\\\left\{\begin{array}{ccc}x=3\\y=1\end{array}\right$

7 0

3 years ago

3. Solve 2log4y - log4 (5y - 12) = 1/2​

3. Solve 2log4y - log4 (5y - 12) = 1/2