What is the answer to 3log_{4}(x-2)=5 ?

The answer to 3log_{4}(x-2)=5 is x=4*4^{2/3}+2

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3log_{4}(x-2)=5

3 lo g_{4} (x - 2) = 5

x = 4 \cdot 4^{\frac{2}{3}} + 2

Decimal

x = 12.07936 \dots

Solution steps

3 lo g_{4} (x - 2) = 5

Divide both sides by

3

lo g_{4} (x - 2) = \frac{5}{3}

Apply log rules

x - 2 = 4 \cdot 4^{\frac{2}{3}}

Solve

x - 2 = 4 \cdot 4^{\frac{2}{3}} : x = 4 \cdot 4^{\frac{2}{3}} + 2

x = 4 \cdot 4^{\frac{2}{3}} + 2

Verify Solutions:

x = 4 \cdot 4^{\frac{2}{3}} + 2

True

The solution is

x = 4 \cdot 4^{\frac{2}{3}} + 2

3 = lo g_{t} (8)

ln (x + 2) = - 1 - ln (x)

lo g_{x} (121) = 3

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

\frac{ln ( x )}{x} = 0

What is the answer to 3log_{4}(x-2)=5 ?
The answer to 3log_{4}(x-2)=5 is x=4*4^{2/3}+2
Solve for x: 3log_{4}(x-2)=5
The solution is x=4*4^{2/3}+2