Solve the inequality _4^n-6<-5

_4^n-6<-5

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Answer

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Step by step solution

Problem

$_4^n-6<-5$
1

Moving the term $-6$ to the other side of the inequation with opposite sign

$_4^n<6-5$
2

Subtract the values $6$ and $-5$

$_4^n<1$
3

Removing the variable from the exponent

$\ln\left(_4^n\right)<\ln\left(1\right)$
4

Calculating the natural logarithm of $1$

$\ln\left(_4^n\right)<0$
5

Take the variable outside the logarithm

$e^{\ln\left(_4^n\right)}<e^{\ln\left(0\right)}$
6

There are no logarithms of negative numbers or $0$

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Answer

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Problem Analysis

Main topic:

Inequalities

Time to solve it:

0.21 seconds

Views:

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