What is the answer to 9/8 log_{3}(x)=3 ?

The answer to 9/8 log_{3}(x)=3 is x=9*3^{2/3}

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9/8 log_{3}(x)=3

\frac{9}{8} lo g_{3} (x) = 3

x = 9 \cdot 3^{\frac{2}{3}}

Decimal Notation

x = 18.72075 \dots

Solution steps

\frac{9}{8} lo g_{3} (x) = 3

Multiply both sides by

8

9 lo g_{3} (x) = 24

Divide both sides by

9

lo g_{3} (x) = \frac{8}{3}

Apply log rules

x = 9 \cdot 3^{\frac{2}{3}}

Verify Solutions:

x = 9 \cdot 3^{\frac{2}{3}}

True

The solution is

x = 9 \cdot 3^{\frac{2}{3}}

lo g_{5} (x) = 4 lo g_{x} (5) + 3

ln (5 x - 4) - ln (7) = ln (37)

lo g_{x} (48) = 2

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

lo g_{3} ((4 x + 2)^{3}) = 6

What is the answer to 9/8 log_{3}(x)=3 ?
The answer to 9/8 log_{3}(x)=3 is x=9*3^{2/3}
Solve for x: 9/8 log_{3}(x)=3
The solution is x=9*3^{2/3}