Question

find the value of x please

Answer 1

36=6^2
1296=6^4
6^(2x+1)/6^2=6^4
using a^m/a^n=a^(m-n)
6^(2x+1-2)=6^4
Since bases are same we can equate the powers
2x-1=4
2x=4+1
⇒x=5/2

Answer 2

Given

$6 ^{2x + 1} \div 36 = 1296$

${6}^{2x + 1} = 1296 \times 36$
${6}^{2x + 1} = {6}^{4} \times 6 ^{2}$

${6}^{2x + 1} = {6}^{6}$

2x+1=6

2x=6-1

2x=5

X=5/2

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