Whether you're a student or a professional, IDNLearn.com has answers for everyone. Join our interactive Q&A platform to receive prompt and accurate responses from experienced professionals in various fields.
Sagot :
Given:
[tex]6^{9\text{ }}\ast6^x=6^2[/tex]To find the value of x, first apply exponential property which is:
[tex]a^m\text{ }\ast a^{n\text{ }}=a^{m+n}[/tex]Now we have:
[tex]6^{9+x\text{ }}=6^2[/tex]Since both bases are equal, let's remove both bases, take the exponent and find x:
[tex]9\text{ + x = 2}[/tex]Now subtract from both sides:
[tex]9\text{ - 9 + x = 2 - }9[/tex][tex]0\text{ + x }=\text{ -7}[/tex][tex]x\text{ = -7}[/tex]The value of x is -7
Your presence in our community is highly appreciated. Keep sharing your insights and solutions. Together, we can build a rich and valuable knowledge resource for everyone. Thank you for trusting IDNLearn.com with your questions. Visit us again for clear, concise, and accurate answers.
