# Step-by-step Solution

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## Step-by-step explanation

Problem to solve:

$\ln\left(e^{11\left(-1\right) y^{\left(-1\right)}}\right)$

Learn how to solve properties of logarithms problems step by step online.

$\ln\left(e^{-11y^{-1}}\right)$

Learn how to solve properties of logarithms problems step by step online. Apply logarithm properties ln(2.718281828459045^(11*-1*y^(-1))). Multiply 11 times -1. Apply the formula: \ln\left(e^x\right)=x, where x=-11y^{-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number.

$\frac{-11}{y}$

### Problem Analysis

$\ln\left(e^{11\left(-1\right) y^{\left(-1\right)}}\right)$

### Main topic:

Properties of logarithms

~ 0.02 seconds