What is the answer to (0.5)^{(x/(4.5))}=0.1 ?

The answer to (0.5)^{(x/(4.5))}=0.1 is x=(4.5ln(0.1))/(ln(0.5))

Solve for x: (0.5)^{(x/(4.5))}=0.1

The solution is x=(4.5ln(0.1))/(ln(0.5))

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(0.5)^{(\frac{x}{4.5})} = 0.1

x = \frac{4.5 ln ( 0.1 )}{ln ( 0.5 )}

Decimal Notation

x = 14.94867 \dots

Solution steps

(0.5)^{(\frac{x}{4.5})} = 0.1

Apply exponent rules

\frac{x}{4.5} ln (0.5) = ln (0.1)

Solve

\frac{x}{4.5} ln (0.5) = ln (0.1) : x = \frac{4.5 ln ( 0.1 )}{ln ( 0.5 )}

x = \frac{4.5 ln ( 0.1 )}{ln ( 0.5 )}

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

e^{9 x} = 5

8^{- 3 x} = \frac{1}{4}

1000000 = 1 0^{1.5 d}

10 = e^{x}

What is the answer to (0.5)^{(x/(4.5))}=0.1 ?
The answer to (0.5)^{(x/(4.5))}=0.1 is x=(4.5ln(0.1))/(ln(0.5))
Solve for x: (0.5)^{(x/(4.5))}=0.1
The solution is x=(4.5ln(0.1))/(ln(0.5))