What is the answer to ln((x-9)^4)=12 ?

The answer to ln((x-9)^4)=12 is x=e^3+9,x=-e^3+9

Solve for x: ln((x-9)^4)=12

The solution is x=e^3+9,x=-e^3+9

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ln ((x - 9)^{4}) = 12

x = e^{3} + 9, x = - e^{3} + 9

Decimal Notation

x = 29.08553 \dots, x = - 11.08553 \dots

Solution steps

ln ((x - 9)^{4}) = 12

Apply exponent rule:

a^{2 \cdot n} = (a^{2})^{n}

(x - 9)^{4} = ((x - 9)^{2})^{2}

ln (((x - 9)^{2})^{2}) = 12

Apply log rules

(x - 9)^{2} = e^{6}

Solve

(x - 9)^{2} = e^{6} : x = e^{3} + 9, x = - e^{3} + 9

x = e^{3} + 9, x = - e^{3} + 9

Verify Solutions:

x = e^{3} + 9

True

, x = - e^{3} + 9

True

The solutions are

x = e^{3} + 9, x = - e^{3} + 9

7.5 = 6 + lo g_{10} (x)

lo g_{10} (x) = 4.436

658178 = 48484 \cdot ln (x) + 67854

12 = 5 ln ∣ x ∣ + C

14.22 = ln (x)

What is the answer to ln((x-9)^4)=12 ?
The answer to ln((x-9)^4)=12 is x=e^3+9,x=-e^3+9
Solve for x: ln((x-9)^4)=12
The solution is x=e^3+9,x=-e^3+9