What is the answer to (\sqrt[4]{7^5})^x=5 ?

The answer to (\sqrt[4]{7^5})^x=5 is x=(4ln(5))/(5ln(7))

Solve for x: (\sqrt[4]{7^5})^x=5

The solution is x=(4ln(5))/(5ln(7))

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x = \frac{4 ln ( 5 )}{5 ln ( 7 )}

Decimal Notation

x = 0.66166 \dots

Solution steps

Apply exponent rules

5 \cdot \frac{1}{4} x ln (7) = ln (5)

Solve

5 \cdot \frac{1}{4} x ln (7) = ln (5) : x = \frac{4 ln ( 5 )}{5 ln ( 7 )}

x = \frac{4 ln ( 5 )}{5 ln ( 7 )}

4^{x + 2} = 8^{x - 1}

e^{x} + 15 e^{- x} = 8

2^{2 + y} - 2^{1 + y} = 2^{4}

x, - 4^{2 y} = 3^{8 x}

993 = 1 0^{\frac{( 1.25 - m + 5 )}{5}}

What is the answer to (\sqrt[4]{7^5})^x=5 ?
The answer to (\sqrt[4]{7^5})^x=5 is x=(4ln(5))/(5ln(7))
Solve for x: (\sqrt[4]{7^5})^x=5
The solution is x=(4ln(5))/(5ln(7))