What is x+y=30,log_{3}(x)+log_{3}(y)=4 ?

The solution to x+y=30,log_{3}(x)+log_{3}(y)=4 is

Popular >

x+y=30,log_{3}(x)+log_{3}(y)=4

x + y = 30, lo g_{3} (x) + lo g_{3} (y) = 4

(x = 27, x = 3, y = 3 y = 27)

Solution steps

[x + y = 30 lo g_{3} (x) + lo g_{3} (y) = 4]

Isolate

x

for

x + y = 30 : x = 30 - y

Plug the solutions

x = 30 - y

into

lo g_{3} (x) + lo g_{3} (y) = 4

For

lo g_{3} (x) + lo g_{3} (y) = 4

, subsitute

x

with

30 - y : y = 3, y = 27

Plug the solutions

y = 3, y = 27

into

x + y = 30

For

x + y = 30

, subsitute

y

with

3 : x = 27

For

x + y = 30

, subsitute

y

with

27 : x = 3

Verify solutions by plugging them into the original equations

Therefore, the final solutions for

x + y = 30, lo g_{3} (x) + lo g_{3} (y) = 4

are

(x = 27, x = 3, y = 3 y = 27)

f (x) = 2, x^{2} + 11 x - 219 x = \frac{3}{2}

x + y = 10, lo g_{2} (x) + lo g_{2} (y) = 4

5 x^{2} - 27 x^{2} + 36 = 0, y^{2} y + 2 = 0

f (x) = 2, x^{2} + 8 x - 3 x^{0} = - 3

2 x^{3} y = 1, 0.93 x y = 1.1

What is x+y=30,log_{3}(x)+log_{3}(y)=4 ?
The solution to x+y=30,log_{3}(x)+log_{3}(y)=4 is