What is the answer to (0.5)^{((9900)/x)}=0.3 ?

The answer to (0.5)^{((9900)/x)}=0.3 is x=(9900ln(0.5))/(ln(0.3))

Solve for x: (0.5)^{((9900)/x)}=0.3

The solution is x=(9900ln(0.5))/(ln(0.3))

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(0.5)^{(\frac{9900}{x})} = 0.3

x = \frac{9900 ln ( 0.5 )}{ln ( 0.3 )}

Decimal Notation

x = 5699.59476 \dots

Solution steps

(0.5)^{(\frac{9900}{x})} = 0.3

Apply exponent rules

\frac{9900}{x} ln (0.5) = ln (0.3)

Solve

\frac{9900}{x} ln (0.5) = ln (0.3) : x = \frac{9900 ln ( 0.5 )}{ln ( 0.3 )}

x = \frac{9900 ln ( 0.5 )}{ln ( 0.3 )}

\frac{2}{3 ^{x - 5}} = 162

7^{2 x + 1} = 3^{x + 2}

e^{6 x} = 6 e^{x}

t, x = e^{- t}

3^{x} \cdot 3^{x + 1} = 9

What is the answer to (0.5)^{((9900)/x)}=0.3 ?
The answer to (0.5)^{((9900)/x)}=0.3 is x=(9900ln(0.5))/(ln(0.3))
Solve for x: (0.5)^{((9900)/x)}=0.3
The solution is x=(9900ln(0.5))/(ln(0.3))