What is the answer to 10^{4/x}=6 ?

The answer to 10^{4/x}=6 is x=(4ln(10))/(ln(6))

Solve for x: 10^{4/x}=6

The solution is x=(4ln(10))/(ln(6))

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1 0^{\frac{4}{x}} = 6

x = \frac{4 ln ( 10 )}{ln ( 6 )}

Decimal Notation

x = 5.14038 \dots

Solution steps

1 0^{\frac{4}{x}} = 6

Apply exponent rules

\frac{4}{x} ln (10) = ln (6)

Solve

\frac{4}{x} ln (10) = ln (6) : x = \frac{4 ln ( 10 )}{ln ( 6 )}

x = \frac{4 ln ( 10 )}{ln ( 6 )}

5^{x^{2} + 8} = 12 5^{2 x}

3^{2 x} = 9^{3 - x}

5^{x - 1} = 25

w, x^{72} + x^{w} = x^{8}

7^{x} = 8

What is the answer to 10^{4/x}=6 ?
The answer to 10^{4/x}=6 is x=(4ln(10))/(ln(6))
Solve for x: 10^{4/x}=6
The solution is x=(4ln(10))/(ln(6))