What is the answer to 6log_{3}(x-3)=-24 ?

The answer to 6log_{3}(x-3)=-24 is x= 244/81

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6log_{3}(x-3)=-24

6 lo g_{3} (x - 3) = - 24

x = \frac{244}{81}

Decimal Notation

x = 3.01234 \dots

Solution steps

6 lo g_{3} (x - 3) = - 24

Divide both sides by

6

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

Apply log rules

x - 3 = \frac{1}{81}

Solve

x - 3 = \frac{1}{81} : x = \frac{244}{81}

x = \frac{244}{81}

Verify Solutions:

x = \frac{244}{81}

True

The solution is

x = \frac{244}{81}

2 - 2 ln (x) = 2.5

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

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

lo g_{3} (7 x + 1) = 3

\frac{4}{lo g _{10} ( x )} = 2

What is the answer to 6log_{3}(x-3)=-24 ?
The answer to 6log_{3}(x-3)=-24 is x= 244/81
Solve for x: 6log_{3}(x-3)=-24
The solution is x= 244/81