What is the answer to solvefor x,(1/5)^x=10 ?

The answer to solvefor x,(1/5)^x=10 is x=-(ln(10))/(ln(5))

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Solve for x (1/5)^x=10

solve for

x, (\frac{1}{5})^{x} = 10

x = - \frac{ln ( 10 )}{ln ( 5 )}

Decimal Notation

x = - 1.43067 \dots

Solution steps

(\frac{1}{5})^{x} = 10

Apply exponent rules

x ln (\frac{1}{5}) = ln (10)

Solve

x ln (\frac{1}{5}) = ln (10) : x = - \frac{ln ( 10 )}{ln ( 5 )}

x = - \frac{ln ( 10 )}{ln ( 5 )}

2.5 \cdot \frac{2}{3}

17.5%

3.14 \cdot 1 2^{2}

5.25%

8.65%

What is the answer to solvefor x,(1/5)^x=10 ?
The answer to solvefor x,(1/5)^x=10 is x=-(ln(10))/(ln(5))