What is the answer to log_{9}(\sqrt[x]{27})=4 ?

The answer to log_{9}(\sqrt[x]{27})=4 is x= 3/8

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log_{9}(\sqrt[x]{27})=4

lo g_{9} (x 27) = 4

x = \frac{3}{8}

Decimal

x = 0.375

Solution steps

lo g_{9} (x 27) = 4

Rewrite the equation with

x 27 = u

lo g_{9} (u) = 4

Solve

lo g_{9} (u) = 4 : u = 6561

u = 6561

Substitute back

u = x 27,

solve for

x

Solve

x 27 = 6561 : x = \frac{3}{8}

x = \frac{3}{8}

x^{x^{49}} = 7^{7^{5}}

e^{- x} + e^{- 2 x} = \frac{2}{3}

4^{x} - 12 \times 2^{x} + 32 = 0

e^{3 x} - 2 e^{2 x} - 2 e^{x} - 3 = 0

6^{a + 8} - 6 = 73

What is the answer to log_{9}(\sqrt[x]{27})=4 ?
The answer to log_{9}(\sqrt[x]{27})=4 is x= 3/8
Solve for x: log_{9}(\sqrt[x]{27})=4
The solution is x= 3/8