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(6)4÷(36)3×216=6(?−5)(6)4÷(36)3×216=6(?−5){\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}" /> (6)4÷(36)3×216=6(?−5)(6)4÷(36)3×216=6(?−5){\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}" /> (6)4÷(36)3×216=6(?−5)(6)4÷(36)3×216=6(?−5){\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}" />

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$(6) 4 \div (36) 3 \times 216 = 6 (? - 5)$ ${\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}$

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Answer:- 1

Explanation:-

Solution:

Let , (6) 4 \div (36) 3 \times 216 = 6 (x - 5) Then, 6 (x - 5) = (6) 4 \div (62) 3 \times 63 \Rightarrow 6 (x - 5) = 64 \div 6 (2 \times 3) \times 63 \Rightarrow 6 (x - 5) = 64 \div 66 \times 63 \Rightarrow 6 (x - 5) = 6 (4 - 6 + 3) \Rightarrow 6 (x - 5) = 6 \Rightarrow x - 5 = 1 \Rightarrow x = 6

$\eqalign{ & {\text{Let ,}} \cr & {\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {x - 5} \right)}} \cr & {\text{Then,}} \cr & {6^{\left( {x - 5} \right)}} = {\left( 6 \right)^4} \div {\left( {{6^2}} \right)^3} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^4} \div {6^{\left( {2 \times 3} \right)}} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^4} \div {6^6} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^{\left( {4 - 6 + 3} \right)}} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = 6 \cr & \Rightarrow x - 5 = 1 \cr & \Rightarrow x = 6 \cr}$

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", "text": "

(6) 4 \div (36) 3 \times 216 = 6 (? - 5)

${\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {? - 5} \right)}}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" }, "answerCount": "4", "acceptedAnswer": { "@type": "Answer", "text": "

Solution:

Let , (6) 4 \div (36) 3 \times 216 = 6 (x - 5) Then, 6 (x - 5) = (6) 4 \div (62) 3 \times 63 \Rightarrow 6 (x - 5) = 64 \div 6 (2 \times 3) \times 63 \Rightarrow 6 (x - 5) = 64 \div 66 \times 63 \Rightarrow 6 (x - 5) = 6 (4 - 6 + 3) \Rightarrow 6 (x - 5) = 6 \Rightarrow x - 5 = 1 \Rightarrow x = 6

$\eqalign{ & {\text{Let ,}} \cr & {\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {x - 5} \right)}} \cr & {\text{Then,}} \cr & {6^{\left( {x - 5} \right)}} = {\left( 6 \right)^4} \div {\left( {{6^2}} \right)^3} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^4} \div {6^{\left( {2 \times 3} \right)}} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^4} \div {6^6} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^{\left( {4 - 6 + 3} \right)}} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = 6 \cr & \Rightarrow x - 5 = 1 \cr & \Rightarrow x = 6 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM", "author": { "@type": "Person", "name": "Nitin Sir" } }, "suggestedAnswer": { "@type": "Answer", "text": "

Solution:

Let , (6) 4 \div (36) 3 \times 216 = 6 (x - 5) Then, 6 (x - 5) = (6) 4 \div (62) 3 \times 63 \Rightarrow 6 (x - 5) = 64 \div 6 (2 \times 3) \times 63 \Rightarrow 6 (x - 5) = 64 \div 66 \times 63 \Rightarrow 6 (x - 5) = 6 (4 - 6 + 3) \Rightarrow 6 (x - 5) = 6 \Rightarrow x - 5 = 1 \Rightarrow x = 6

$\eqalign{ & {\text{Let ,}} \cr & {\left( 6 \right)^4} \div {\left( {36} \right)^3} \times 216 = {6^{\left( {x - 5} \right)}} \cr & {\text{Then,}} \cr & {6^{\left( {x - 5} \right)}} = {\left( 6 \right)^4} \div {\left( {{6^2}} \right)^3} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^4} \div {6^{\left( {2 \times 3} \right)}} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^4} \div {6^6} \times {6^3} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = {6^{\left( {4 - 6 + 3} \right)}} \cr & \Rightarrow {6^{\left( {x - 5} \right)}} = 6 \cr & \Rightarrow x - 5 = 1 \cr & \Rightarrow x = 6 \cr}$ ", "dateCreated": "7/24/2019 10:09:12 AM" } }

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