What is the answer to 0.1^n=0.1333 ?

The answer to 0.1^n=0.1333 is n=(ln(0.1333))/(ln(0.1))

Solve for n: 0.1^n=0.1333

The solution is n=(ln(0.1333))/(ln(0.1))

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0. 1^{n} = 0.1333

n = \frac{ln ( 0.1333 )}{ln ( 0.1 )}

Decimal Notation

n = 0.87516 \dots

Solution steps

0. 1^{n} = 0.1333

Apply exponent rules

n ln (0.1) = ln (0.1333)

Solve

n ln (0.1) = ln (0.1333) : n = \frac{ln ( 0.1333 )}{ln ( 0.1 )}

n = \frac{ln ( 0.1333 )}{ln ( 0.1 )}

e^{x} = e^{2}

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

n, z^{n} = - 1

5^{x - 4} = 5^{10}

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

What is the answer to 0.1^n=0.1333 ?
The answer to 0.1^n=0.1333 is n=(ln(0.1333))/(ln(0.1))
Solve for n: 0.1^n=0.1333
The solution is n=(ln(0.1333))/(ln(0.1))