What is the answer to (1/3)^x=52 ?

The answer to (1/3)^x=52 is x=-(ln(52))/(ln(3))

Solve for x: (1/3)^x=52

The solution is x=-(ln(52))/(ln(3))

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(\frac{1}{3})^{x} = 52

x = - \frac{ln ( 52 )}{ln ( 3 )}

Decimal Notation

x = - 3.59657 \dots

Solution steps

(\frac{1}{3})^{x} = 52

Apply exponent rules

x ln (\frac{1}{3}) = ln (52)

Solve

x ln (\frac{1}{3}) = ln (52) : x = - \frac{ln ( 52 )}{ln ( 3 )}

x = - \frac{ln ( 52 )}{ln ( 3 )}

\frac{9 ^{x^{2} - x}}{3 ^{3 x - 2}} = 1

4^{(1 - x)} = 3^{(2 x + 3)}

e^{e^{e^{x}}} = 15.1546741867000 \dots

e^{x - 3} + 1 = 4 x - 3

3 e^{t} = 5 + 8 e^{- t}

What is the answer to (1/3)^x=52 ?
The answer to (1/3)^x=52 is x=-(ln(52))/(ln(3))
Solve for x: (1/3)^x=52
The solution is x=-(ln(52))/(ln(3))