What is the answer to log_{3}((x+3)/2)=2 ?

The answer to log_{3}((x+3)/2)=2 is x=15

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log_{3}((x+3)/2)=2

lo g_{3} (\frac{x + 3}{2}) = 2

x = 15

Solution steps

lo g_{3} (\frac{x + 3}{2}) = 2

Apply log rules

\frac{x + 3}{2} = 3^{2}

Multiply both sides by

2

\frac{x + 3}{2} \cdot 2 = 3^{2} \cdot 2

Simplify

x + 3 = 18

Solve

x + 3 = 18 : x = 15

x = 15

Verify Solutions:

x = 15

True

The solution is

x = 15

lo g_{2} (x + 6) - lo g_{2} (x - 6) = 3

0.86125 = 0.6446 ln (x) - 0.5557

lo g_{2} (8 x) - 4 lo g_{2} (4) = 0

16 = - lo g_{10} (x)

4 ln (6 x) = 12

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