Question

243=-(-3^n)
=n=5
how did the answer come as 5 pls exaplin detailed or I will report ur answer and ur account will be blockef​

Answer 1

$\sf\large\red{\underline{\underline{Given\: Equation:}}}$

$\sf{\implies 243 = -({-3}^{n}) }$

$\sf\large\red{\underline{\underline{Solution:}}}$

$\sf{\implies 243 = -({-3}^{n})}$

$\sf{\implies 243 = {3}^{n}}$

$\sf\purple{\underline{\underline{Since,\: {3}^{n}\:is\:in\:exponential\:form,so}}}$$\sf\purple{\underline{\underline{On \:converting\:243\:in\:exponential\:form,\:we\:get:}}}$

$\sf{\implies (3 \times 3\times 3 \times 3 \times 3) = {3}^{n}}$

$\sf{\implies {3}^{5} = {3}^{n}}$

$\sf\purple{\underline{\underline{Since,\: bases\:are\:same, so\:we}}}$$\sf\purple{\underline{\underline{equate\:the\:exponents,}}}$

$\sf{\implies 5 = n}$

$\sf\large\red{\underline{\underline{Hence:}}}$

$\sf{\implies n = 5}$

Answer 2

Answer:

$\sf\large\red{\underline{\underline{Given\: Equation:}}}$

$\sf{\implies 243 = -({-3}^{n}) }$

$\sf\large\red{\underline{\underline{Solution:}}}$

Solution:

$\sf{\implies 243 = -({-3}^{n})}$

$\sf{\implies 243 = {3}^{n}}$

$\sf\purple{\underline{\underline{Since,\: {3}^{n}\:is\:in\:exponential\:form,so}}}$

$\sf\purple{\underline{\underline{On \:converting\:243\:in\:exponential\:form,\:we\:get:}}}$

$\sf{\implies (3 \times 3\times 3 \times 3 \times 3) = {3}^{n}}$

$\sf{\implies {3}^{5} = {3}^{n}}$

$\sf\purple{\underline{\underline{Since,\: bases\:are\:same, so\:we}}}$

$\sf\purple{\underline{\underline{equate\:the\:exponents,}}}$

$\sf{\implies 5 = n}$

$\sf\large\red{\underline{\underline{Hence:}}} </p><p></p><p> </p><p>$

$\sf{\implies n = 5}$