What is the answer to (3^4)^x=5 ?

The answer to (3^4)^x=5 is x=(ln(5))/(4ln(3))

Solve for x: (3^4)^x=5

The solution is x=(ln(5))/(4ln(3))

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(3^{4})^{x} = 5

x = \frac{ln ( 5 )}{4 ln ( 3 )}

Decimal Notation

x = 0.36624 \dots

Solution steps

(3^{4})^{x} = 5

Apply exponent rules

4 x ln (3) = ln (5)

Solve

4 x ln (3) = ln (5) : x = \frac{ln ( 5 )}{4 ln ( 3 )}

x = \frac{ln ( 5 )}{4 ln ( 3 )}

1 = 3^{2 x}

\frac{e ^{- t \cdot 1000}}{41.3} = 1

9^{x} - 3^{x} - 72 = 0

\frac{3 ^{x} + 3}{( 3 ^{x} )} = 4

e^{z} = 0