What is the answer to 3.5=1.5+log_{3}(x+1) ?

The answer to 3.5=1.5+log_{3}(x+1) is x=8

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3.5=1.5+log_{3}(x+1)

3.5 = 1.5 + lo g_{3} (x + 1)

x = 8

Solution steps

3.5 = 1.5 + lo g_{3} (x + 1)

Switch sides

1.5 + lo g_{3} (x + 1) = 3.5

Move

1.5

to the right side

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

Apply log rules

x + 1 = 9

Solve

x + 1 = 9 : x = 8

x = 8

Verify Solutions:

x = 8

True

The solution is

x = 8

lo g_{10} (3 x) = 4

lo g_{3} (y^{2}) + lo g_{3} (y) = 6

ln (ln (2 x)) = 0

(ln (x))^{6} = 6 ln (x)

lo g_{2} (x^{2} - 3 x) = 2

What is the answer to 3.5=1.5+log_{3}(x+1) ?
The answer to 3.5=1.5+log_{3}(x+1) is x=8
Solve for x: 3.5=1.5+log_{3}(x+1)
The solution is x=8