What is the answer to 2log_{3}(n)+3log_{27}(n)=15 ?

The answer to 2log_{3}(n)+3log_{27}(n)=15 is n=243

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2log_{3}(n)+3log_{27}(n)=15

2 lo g_{3} (n) + 3 lo g_{27} (n) = 15

n = 243

Solution steps

2 lo g_{3} (n) + 3 lo g_{27} (n) = 15

Apply log rules

n = 243

Verify Solutions:

n = 243

True

The solution is

n = 243

lo g_{3} (y) = 5

- 3 = 20 lo g_{10} (\frac{x}{1})

0.35 = ln (x)

ln (4 x + 5) = 6

- ln (x) = 2

What is the answer to 2log_{3}(n)+3log_{27}(n)=15 ?
The answer to 2log_{3}(n)+3log_{27}(n)=15 is n=243
Solve for n: 2log_{3}(n)+3log_{27}(n)=15
The solution is n=243