Question

if( 6^x)=6^5 then the value of x​

Answer 1

Answer:

6^x=6^5

after comparing

x=5

Answer 2

Answer:

$\mathbf\red{Given:-}$

• $({6})^{x} = {(6)}^{5}$

$\mathbf\blue{To\:Find:-}$

• The value of x

$\mathbf\green{Solution:-}$

${(6)}^{x} = {(6)}^{5} \\ \\ If \: {a}^{m} = {a}^{n} \: then \: m = n$

Therefore, x = 5

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Identity used:-

• $If \: {a}^{m} = {a}^{n} \: then \: m = n$

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$\mathbf\pink{Additional\:Identities}$

• ${a}^{n} \times {a}^{n} = {(a)}^{m + n}$

• $\frac{ {a}^{m} }{ {a}^{n} } = {a}^{m - n}$ [If m>n]

• $\frac{ {a}^{m} }{ {a}^{n} } = \frac{1}{ {a}^{n - m} }$ [If n>m]

• ${a}^{0} = 1$ [For any value of a]

• ${a}^{1} = a$ [For any value of a]