What is the answer to 3log_{3}(x-2)=5 ?

The answer to 3log_{3}(x-2)=5 is x=3*3^{2/3}+2

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3log_{3}(x-2)=5

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

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

Decimal Notation

x = 8.24025 \dots

Solution steps

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

Divide both sides by

3

lo g_{3} (x - 2) = \frac{5}{3}

Apply log rules

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

Solve

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

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

Verify Solutions:

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

True

The solution is

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

lo g_{x - 1} (4) = 2

23 = 10 lo g_{10} (x)

x, f = 1 + lo g_{2} (x + k)

lo g_{2} (N) = - 2

0 = ln (x) + 1

What is the answer to 3log_{3}(x-2)=5 ?
The answer to 3log_{3}(x-2)=5 is x=3*3^{2/3}+2
Solve for x: 3log_{3}(x-2)=5
The solution is x=3*3^{2/3}+2