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

Find the hypotenuse of each isosceles right triangle when the legs are of the given measure.

gtnhenbr [62]

Answer:

if its an isosceles triangle, and both sides are congruent (of same length), they are hypotenuse.

thus, hypotenuse = 3√2 or 4.24 inches

3 0

2 years ago

Indicate in standard form the equation of the line passing through the given point and having the given slope. R(4, 0), m = 5

daser333 [38]

Hello,

If R(4,0) is the given point and m=5 the slope,

y-0=5(x-4)==>y=5x-20 is the reduced form
and 5x-y-20=0 is the standard form

7 0

2 years ago

Write an expression for the verbal phrase:

Andre45 [30]

Answer:

15 ÷ 2 x

Step-by-step explanation:

Since it's a expression, no answer would be needed, so you just write the way the phrase says. Let's say, "What's the quotient of three and the six times x" That would be 3÷6x

7 0

3 years ago

How do you find the x i need help really fast

kvasek [131]

I think that answer would be C

5 0

3 years ago

Find the value of n<br><br> 6/n = 5/120

sleet_krkn [62]

Answer:

n = 144

Step-by-step explanation:

6 / n = 5/120

6 * 120 = 5*n

5n = 6*120

5n = 720

n = 720/5

n = 144

8 0

3 years ago

Read 2 more answers

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

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