What is the answer to ln((x-6)^3)=5 ?

The answer to ln((x-6)^3)=5 is x=e^{5/3}+6

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ln((x-6)^3)=5

ln ((x - 6)^{3}) = 5

x = e^{\frac{5}{3}} + 6

Decimal Notation

x = 11.29449 \dots

Solution steps

ln ((x - 6)^{3}) = 5

Apply log rules

x - 6 = e^{\frac{5}{3}}

Solve

x - 6 = e^{\frac{5}{3}} : x = e^{\frac{5}{3}} + 6

x = e^{\frac{5}{3}} + 6

Verify Solutions:

x = e^{\frac{5}{3}} + 6

True

The solution is

x = e^{\frac{5}{3}} + 6

ln (\frac{x + 1}{2 x - 3}) = 1

lo g_{6} (w) = - 2

\frac{16}{3} lo g_{2} (x) = 32

x = - ln (x - 2)

lo g_{10} (2565 x) = 7

What is the answer to ln((x-6)^3)=5 ?
The answer to ln((x-6)^3)=5 is x=e^{5/3}+6
Solve for x: ln((x-6)^3)=5
The solution is x=e^{5/3}+6