What is the answer to ln(((x-2))/8)=2 ?

The answer to ln(((x-2))/8)=2 is x=e^2*8+2

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ln(((x-2))/8)=2

ln (\frac{( x - 2 )}{8}) = 2

x = e^{2} \cdot 8 + 2

Decimal Notation

x = 61.11244 \dots

Solution steps

ln (\frac{( x - 2 )}{8}) = 2

Apply log rules

\frac{x - 2}{8} = e^{2}

Multiply both sides by

8

\frac{x - 2}{8} \cdot 8 = e^{2} \cdot 8

Simplify

x - 2 = e^{2} \cdot 8

Solve

x - 2 = e^{2} \cdot 8 : x = e^{2} \cdot 8 + 2

x = e^{2} \cdot 8 + 2

Verify Solutions:

x = e^{2} \cdot 8 + 2

True

The solution is

x = e^{2} \cdot 8 + 2

2 lo g_{10} (x + 5) + lo g_{3} (9) = 2

3 lo g_{4} (6 x) = 9

5 ln (x) = - 15

lo g_{x} (\frac{19}{65}) = 1.7

lo g_{10} (t) = 4.1339

What is the answer to ln(((x-2))/8)=2 ?
The answer to ln(((x-2))/8)=2 is x=e^2*8+2
Solve for x: ln(((x-2))/8)=2
The solution is x=e^2*8+2