What is the answer to log_{3}(x+1)-log_{3}(27)=4 ?

The answer to log_{3}(x+1)-log_{3}(27)=4 is x=2186

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log_{3}(x+1)-log_{3}(27)=4

lo g_{3} (x + 1) - lo g_{3} (27) = 4

x = 2186

Solution steps

lo g_{3} (x + 1) - lo g_{3} (27) = 4

Move

lo g_{3} (27)

to the right side

lo g_{3} (x + 1) = 4 + lo g_{3} (27)

Apply log rules

x + 1 = 2187

Solve

x + 1 = 2187 : x = 2186

x = 2186

Verify Solutions:

x = 2186

True

The solution is

x = 2186

lo g_{10} (n) = 2.5955

lo g_{3} (2 x + 1) - lo g_{3} (5 x - 3) = - 1

- 6 lo g_{3} (x - 3) = - 24

lo g_{2} (x - 1) = 2

lo g_{4} (3 x - 1) = lo g_{4} (x)

What is the answer to log_{3}(x+1)-log_{3}(27)=4 ?
The answer to log_{3}(x+1)-log_{3}(27)=4 is x=2186
Solve for x: log_{3}(x+1)-log_{3}(27)=4
The solution is x=2186