What is the answer to ln(x/3)=4 ?

The answer to ln(x/3)=4 is x=e^4*3

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ln(x/3)=4

ln (\frac{x}{3}) = 4

x = e^{4} \cdot 3

Decimal Notation

x = 163.79445 \dots

Solution steps

ln (\frac{x}{3}) = 4

Apply log rules

\frac{x}{3} = e^{4}

Multiply both sides by

3

\frac{x}{3} \cdot 3 = e^{4} \cdot 3

Simplify

x = e^{4} \cdot 3

Verify Solutions:

x = e^{4} \cdot 3

True

The solution is

x = e^{4} \cdot 3

2 lo g_{5} (5 x) - 1 = 11

lo g_{10} (2) + lo g_{10} (x) = 2

ln (7) + ln (x + 3) = lo g_{e} (2 x + 6)

lo g_{a} (3) = 7

x, f^{- 1} (x) = ln (x + 3)