What is the answer to 9/7 log_{3}(x)=10 ?

The answer to 9/7 log_{3}(x)=10 is x=2187*3^{7/9}

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9/7 log_{3}(x)=10

\frac{9}{7} lo g_{3} (x) = 10

x = 2187 \cdot 3^{\frac{7}{9}}

Decimal Notation

x = 5139.76298 \dots

Solution steps

\frac{9}{7} lo g_{3} (x) = 10

Multiply both sides by

7

9 lo g_{3} (x) = 70

Divide both sides by

9

lo g_{3} (x) = \frac{70}{9}

Apply log rules

x = 2187 \cdot 3^{\frac{7}{9}}

Verify Solutions:

x = 2187 \cdot 3^{\frac{7}{9}}

True

The solution is

x = 2187 \cdot 3^{\frac{7}{9}}

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

- lo g_{e} (1 - 3 x) = 1

6 ln (4 x - 9) + 14 = 26

lo g_{3} (x + 1) = lo g_{3} (2 x - 3)

(ln (x))^{2} + 2 (ln (x)) = 0

What is the answer to 9/7 log_{3}(x)=10 ?
The answer to 9/7 log_{3}(x)=10 is x=2187*3^{7/9}
Solve for x: 9/7 log_{3}(x)=10
The solution is x=2187*3^{7/9}