What is the answer to 4log_{3}(x)=log_{9}(x)+2 ?

The answer to 4log_{3}(x)=log_{9}(x)+2 is x=9^{2/7}

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4log_{3}(x)=log_{9}(x)+2

4 lo g_{3} (x) = lo g_{9} (x) + 2

x = 9^{\frac{2}{7}}

Solution steps

4 lo g_{3} (x) = lo g_{9} (x) + 2

Apply log rules

x = 9^{\frac{2}{7}}

Verify Solutions:

x = 9^{\frac{2}{7}}

True

The solution is

x = 9^{\frac{2}{7}}

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ln (e^{2} x + 5 - 8) = 10

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What is the answer to 4log_{3}(x)=log_{9}(x)+2 ?
The answer to 4log_{3}(x)=log_{9}(x)+2 is x=9^{2/7}
Solve for x: 4log_{3}(x)=log_{9}(x)+2
The solution is x=9^{2/7}